Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
58870q |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
751680 |
Modular degree for the optimal curve |
Δ |
-62750910041827840 = -1 · 29 · 5 · 72 · 298 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112291,18832641] |
[a1,a2,a3,a4,a6] |
j |
-313021969/125440 |
j-invariant |
L |
1.9695458941171 |
L(r)(E,1)/r! |
Ω |
0.3282576495013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58870d1 |
Quadratic twists by: 29 |