Atkin-Lehner |
3+ 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25935b |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
27065117625 = 3 · 53 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19798,-1080473] |
[a1,a2,a3,a4,a6] |
Generators |
[494:10241:1] |
Generators of the group modulo torsion |
j |
858266076022461289/27065117625 |
j-invariant |
L |
3.9308312405976 |
L(r)(E,1)/r! |
Ω |
0.40247804074491 |
Real period |
R |
4.8832865928814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805w1 129675bg1 |
Quadratic twists by: -3 5 |