Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26320b |
Isogeny class |
Conductor |
26320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
52640000 = 28 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143,558] |
[a1,a2,a3,a4,a6] |
j |
1263257424/205625 |
j-invariant |
L |
1.9076291454613 |
L(r)(E,1)/r! |
Ω |
1.9076291454615 |
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 |
13160d1 105280bf1 |
Quadratic twists by: -4 8 |