Atkin-Lehner |
2- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71632k |
Isogeny class |
Conductor |
71632 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
95200 |
Modular degree for the optimal curve |
Δ |
268483612672 = 212 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3 -2 -1 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1936,21296] |
[a1,a2,a3,a4,a6] |
Generators |
[-1531695:5837383:35937] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
10.133465663687 |
L(r)(E,1)/r! |
Ω |
0.90256174136333 |
Real period |
R |
11.227448714169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4477a1 592c1 |
Quadratic twists by: -4 -11 |