Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cc |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
699689853515625 = 3 · 510 · 77 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25751,951773] |
[a1,a2,a3,a4,a6] |
j |
1027243729/380625 |
j-invariant |
L |
3.720452290612 |
L(r)(E,1)/r! |
Ω |
0.46505656965277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315i1 15225d1 |
Quadratic twists by: 5 -7 |