Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456i |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
15987704832 = 210 · 37 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-795,-6118] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:36:1] |
Generators of the group modulo torsion |
j |
74438500/21417 |
j-invariant |
L |
5.8722402980441 |
L(r)(E,1)/r! |
Ω |
0.91883252747951 |
Real period |
R |
0.79887249791542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46728f1 31152b1 |
Quadratic twists by: -4 -3 |