Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440bn |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
113218560 |
Modular degree for the optimal curve |
Δ |
1.320979359973E+28 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 5 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1138904332,-13721425738256] |
[a1,a2,a3,a4,a6] |
j |
623225944950388227633972249/50391363524359094272000 |
j-invariant |
L |
1.253842145532 |
L(r)(E,1)/r! |
Ω |
0.026121711474414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440ee1 2170b1 |
Quadratic twists by: -4 8 |