Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
90738o |
Isogeny class |
Conductor |
90738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
8349347808 = 25 · 36 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 2 5 0 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19476,-1041296] |
[a1,a2,a3,a4,a6] |
Generators |
[-743505:399307:9261] |
Generators of the group modulo torsion |
j |
3131359847/32 |
j-invariant |
L |
6.7597541876894 |
L(r)(E,1)/r! |
Ω |
0.40413255284859 |
Real period |
R |
8.3632884013987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10082k1 90738p1 |
Quadratic twists by: -3 -71 |