Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bx |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-566899520000000000 = -1 · 215 · 510 · 116 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6075208,-5765686412] |
[a1,a2,a3,a4,a6] |
Generators |
[6183183647010249270:-322662084606992111408:1405116168400125] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
5.7728972839303 |
L(r)(E,1)/r! |
Ω |
0.048081573239256 |
Real period |
R |
30.01616261184 |
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 |
6050g4 48400cy2 400b4 |
Quadratic twists by: -4 5 -11 |