Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456c |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
16 |
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 |
1.6063291325483 |
L(r)(E,1)/r! |
Ω |
1.6063291325483 |
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 |
15456p1 30912a2 46368bl1 108192e1 |
Quadratic twists by: -4 8 -3 -7 |