Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188bi |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30412800 |
Modular degree for the optimal curve |
Δ |
-4.5656745746854E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,191283576,141376311065] |
[a1,a2,a3,a4,a6] |
Generators |
[93644443699524432:25705084501038879035:1288268627841] |
Generators of the group modulo torsion |
j |
37458737578627432448/22095372689637291 |
j-invariant |
L |
9.791687778011 |
L(r)(E,1)/r! |
Ω |
0.032062747591483 |
Real period |
R |
25.449284354398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33396e1 9108r1 |
Quadratic twists by: -3 -11 |