Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200cr |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9584640 |
Modular degree for the optimal curve |
Δ |
6.9343957E+21 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 5 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21944800,-39364772000] |
[a1,a2,a3,a4,a6] |
j |
4565397831743545344/27087483203125 |
j-invariant |
L |
0.13955706775879 |
L(r)(E,1)/r! |
Ω |
0.069778533455097 |
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 |
59200s1 14800ba1 11840bp1 |
Quadratic twists by: -4 8 5 |