Atkin-Lehner |
2- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410n |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
29104384506851200 = 27 · 52 · 717 |
Discriminant |
Eigenvalues |
2- -1 5- 3 6 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-352975,-80445483] |
[a1,a2,a3,a4,a6] |
j |
37966934881/227200 |
j-invariant |
L |
5.486281912732 |
L(r)(E,1)/r! |
Ω |
0.19593863973265 |
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 |
710c1 |
Quadratic twists by: -71 |