Atkin-Lehner |
2- 3- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10716a |
Isogeny class |
Conductor |
10716 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
85494134016 = 28 · 39 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -5 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1101,-369] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:102:1] [-15:114:1] |
Generators of the group modulo torsion |
j |
577085415424/333961461 |
j-invariant |
L |
6.0331610624589 |
L(r)(E,1)/r! |
Ω |
0.91030028268497 |
Real period |
R |
0.12273445036269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42864c1 32148a1 |
Quadratic twists by: -4 -3 |