Atkin-Lehner |
5+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
25675d |
Isogeny class |
Conductor |
25675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
1071209140625 = 57 · 133 · 792 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5063,128992] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:434:1] [-47:537:1] |
Generators of the group modulo torsion |
j |
918613512361/68557385 |
j-invariant |
L |
3.8554583869505 |
L(r)(E,1)/r! |
Ω |
0.85475893810627 |
Real period |
R |
1.5035265948751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5135b1 |
Quadratic twists by: 5 |