Atkin-Lehner |
3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52215i |
Isogeny class |
Conductor |
52215 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1392000 |
Modular degree for the optimal curve |
Δ |
1889819721284428125 = 35 · 55 · 597 |
Discriminant |
Eigenvalues |
2 3- 5- -2 3 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-975840,-365418781] |
[a1,a2,a3,a4,a6] |
j |
2436396322816/44803125 |
j-invariant |
L |
7.6034329798464 |
L(r)(E,1)/r! |
Ω |
0.15206865963161 |
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 |
885d1 |
Quadratic twists by: -59 |