Atkin-Lehner |
2- 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1128b |
Isogeny class |
Conductor |
1128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
6458621184 = 28 · 35 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 1 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-985,-10931] |
[a1,a2,a3,a4,a6] |
j |
413269421056/25228989 |
j-invariant |
L |
1.7107628695619 |
L(r)(E,1)/r! |
Ω |
0.85538143478096 |
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 |
2256g1 9024n1 3384e1 28200m1 |
Quadratic twists by: -4 8 -3 5 |