Atkin-Lehner |
5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97865d |
Isogeny class |
Conductor |
97865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
604032 |
Modular degree for the optimal curve |
Δ |
3423329933125 = 54 · 236 · 37 |
Discriminant |
Eigenvalues |
-2 1 5- 5 -3 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-82700,-9181094] |
[a1,a2,a3,a4,a6] |
j |
422550360064/23125 |
j-invariant |
L |
2.2522370497737 |
L(r)(E,1)/r! |
Ω |
0.2815296664502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
185a1 |
Quadratic twists by: -23 |