Atkin-Lehner |
5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525j |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-593759796875 = -1 · 56 · 76 · 17 · 19 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,917,-35807] |
[a1,a2,a3,a4,a6] |
Generators |
[826:8571:8] |
Generators of the group modulo torsion |
j |
5451776000/38000627 |
j-invariant |
L |
3.086736829498 |
L(r)(E,1)/r! |
Ω |
0.45690280308831 |
Real period |
R |
1.6889461000585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261d1 |
Quadratic twists by: 5 |