Atkin-Lehner |
5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25025t |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
9634625 = 53 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152,-669] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:47:8] |
Generators of the group modulo torsion |
j |
3118535181/77077 |
j-invariant |
L |
5.3664228057836 |
L(r)(E,1)/r! |
Ω |
1.3613166743592 |
Real period |
R |
1.9710413112767 |
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 |
25025n1 |
Quadratic twists by: 5 |