Atkin-Lehner |
2- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150t |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25760 |
Modular degree for the optimal curve |
Δ |
42593750 = 2 · 56 · 29 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -7 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:65:8] |
Generators of the group modulo torsion |
j |
4826809/2726 |
j-invariant |
L |
6.4011918202085 |
L(r)(E,1)/r! |
Ω |
1.7503456985517 |
Real period |
R |
3.6571014650228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2726d1 |
Quadratic twists by: 5 |