Atkin-Lehner |
2+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57536g |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
218624 |
Modular degree for the optimal curve |
Δ |
51063411790016 = 26 · 29 · 317 |
Discriminant |
Eigenvalues |
2+ 2 -1 2 -4 -2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41636,-3238066] |
[a1,a2,a3,a4,a6] |
j |
124727198695771456/797865809219 |
j-invariant |
L |
2.3404363913803 |
L(r)(E,1)/r! |
Ω |
0.33434805609593 |
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 |
57536d1 28768e1 |
Quadratic twists by: -4 8 |