Atkin-Lehner |
2- 3- 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614o |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
-22348556556118128 = -1 · 24 · 36 · 7 · 236 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6278171,6056345787] |
[a1,a2,a3,a4,a6] |
j |
-37540109966670836221033/30656456181232 |
j-invariant |
L |
2.5411731191704 |
L(r)(E,1)/r! |
Ω |
0.31764655012947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13846c1 |
Quadratic twists by: -3 |