Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72226n |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
177964864 = 26 · 73 · 112 · 67 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- -3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-407,2925] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-26:1] [-15:84:1] |
Generators of the group modulo torsion |
j |
21740999671/518848 |
j-invariant |
L |
10.654747907865 |
L(r)(E,1)/r! |
Ω |
1.8000257475544 |
Real period |
R |
0.2466341551474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72226m1 |
Quadratic twists by: -7 |