Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350cb |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
624320156250000 = 24 · 39 · 510 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33192,-1984784] |
[a1,a2,a3,a4,a6] |
j |
355045312441/54810000 |
j-invariant |
L |
2.8590155756061 |
L(r)(E,1)/r! |
Ω |
0.35737695826714 |
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 |
30450cd1 18270bn1 |
Quadratic twists by: -3 5 |