Atkin-Lehner |
2+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
57434a |
Isogeny class |
Conductor |
57434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
178752 |
Modular degree for the optimal curve |
Δ |
-833886627902848 = -1 · 27 · 137 · 473 |
Discriminant |
Eigenvalues |
2+ 0 0 2 0 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26687,2185229] |
[a1,a2,a3,a4,a6] |
j |
-20245968606375/8031810176 |
j-invariant |
L |
0.94137190203444 |
L(r)(E,1)/r! |
Ω |
0.47068595051282 |
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 |
57434d1 |
Quadratic twists by: -47 |