Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300u |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
130999680 |
Modular degree for the optimal curve |
Δ |
-4.4536887894162E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16946074033,-849141219681938] |
[a1,a2,a3,a4,a6] |
Generators |
[1465385660086042090276827670803817108245478544515143146850042195768389681430221190348247175468734360685818778603940299466003704898397256376548586505422467551607621140793018985527478201556155482379383418466652617317217626546223741759251102027660399402685522840895405331418280256757506:529353773292820876238840135470223424361002257149897728876905037541850629234826508524346028719095258677459580976367874737043862006387671755853074686743976119999030053150449763556384112367794649563198338586920694811077998944528756758682480658173366134399256555671349038445821689011300550:6560181575361133270161621170439850224299488409198486121964954291930213614717312987145425369465475428098051510911739148121454928569007563690736286946721160746917494143910531781957328189863092264069304088930959042609708821261875257324390627440149968721287151641611246847691521903] |
Generators of the group modulo torsion |
j |
-351119534556135424/29056536675 |
j-invariant |
L |
5.7682458978651 |
L(r)(E,1)/r! |
Ω |
0.0066160705540068 |
Real period |
R |
435.92687311744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660x1 108300bs1 |
Quadratic twists by: 5 -19 |