Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634b |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
13163511312 = 24 · 33 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-597,1189] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:17:1] [-19:83:1] |
Generators of the group modulo torsion |
j |
7414875/4144 |
j-invariant |
L |
6.4773876118563 |
L(r)(E,1)/r! |
Ω |
1.0896205553342 |
Real period |
R |
1.486156713029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32634bj1 4662a1 |
Quadratic twists by: -3 -7 |