Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320s |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-1324476389600000 = -1 · 28 · 55 · 73 · 136 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 5 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69628,7285252] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
0.95900530160466 |
L(r)(E,1)/r! |
Ω |
0.47950265073834 |
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 |
94640n1 280b1 |
Quadratic twists by: -4 13 |