Atkin-Lehner |
2- 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700q |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
8223119453250000 = 24 · 314 · 56 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75533,6668688] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:3726:1] |
Generators of the group modulo torsion |
j |
190633690660864/32892477813 |
j-invariant |
L |
6.444200150766 |
L(r)(E,1)/r! |
Ω |
0.39508140995163 |
Real period |
R |
1.1650763585699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588e1 |
Quadratic twists by: 5 |