Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792bf |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
12128256 = 212 · 32 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-992,11700] |
[a1,a2,a3,a4,a6] |
j |
26383748833/2961 |
j-invariant |
L |
4.3329140166356 |
L(r)(E,1)/r! |
Ω |
2.1664570083178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
987b1 63168cp1 47376bv1 110544cp1 |
Quadratic twists by: -4 8 -3 -7 |