Atkin-Lehner |
2+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9272c |
Isogeny class |
Conductor |
9272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-22549504 = -1 · 210 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ -2 3 -1 3 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-664,-6816] |
[a1,a2,a3,a4,a6] |
j |
-31665174628/22021 |
j-invariant |
L |
1.8806800860129 |
L(r)(E,1)/r! |
Ω |
0.47017002150323 |
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 |
18544a1 74176d1 83448o1 |
Quadratic twists by: -4 8 -3 |