Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675p |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
391875 = 3 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 11- -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-50] |
[a1,a2,a3,a4,a6] |
j |
2941225/627 |
j-invariant |
L |
2.1561674060736 |
L(r)(E,1)/r! |
Ω |
2.1561674060736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025bn1 15675v1 |
Quadratic twists by: -3 5 |