Atkin-Lehner |
2+ 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826c |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
3417380772 = 22 · 3 · 136 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-510,-3648] |
[a1,a2,a3,a4,a6] |
j |
3048625/708 |
j-invariant |
L |
1.0211910453906 |
L(r)(E,1)/r! |
Ω |
1.0211910426281 |
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 |
354a1 |
Quadratic twists by: 13 |