Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456p |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
731594304 = 26 · 32 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-754,-7616] |
[a1,a2,a3,a4,a6] |
j |
741709148608/11431161 |
j-invariant |
L |
1.8236617978274 |
L(r)(E,1)/r! |
Ω |
0.91183089891372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15456c1 30912bc2 46368v1 108192cd1 |
Quadratic twists by: -4 8 -3 -7 |