Atkin-Lehner |
5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
14525b |
Isogeny class |
Conductor |
14525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-443233416171875 = -1 · 57 · 77 · 832 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ 1 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,18592,-265781] |
[a1,a2,a3,a4,a6] |
Generators |
[154:2521:8] |
Generators of the group modulo torsion |
j |
45484000833536/28366938635 |
j-invariant |
L |
10.54155398694 |
L(r)(E,1)/r! |
Ω |
0.30454513344406 |
Real period |
R |
4.326761795422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2905c1 101675q1 |
Quadratic twists by: 5 -7 |