Atkin-Lehner |
2- 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550bn |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
248749380000000 = 28 · 37 · 57 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-266213,52751531] |
[a1,a2,a3,a4,a6] |
j |
133533910339799689/15919960320 |
j-invariant |
L |
4.266323766894 |
L(r)(E,1)/r! |
Ω |
0.5332904684203 |
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 |
15510f1 |
Quadratic twists by: 5 |