Atkin-Lehner |
41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89093c |
Isogeny class |
Conductor |
89093 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-423201037143413 = -1 · 418 · 53 |
Discriminant |
Eigenvalues |
1 1 -2 4 6 1 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-221087,40005931] |
[a1,a2,a3,a4,a6] |
j |
-251598106297/89093 |
j-invariant |
L |
4.1639081726188 |
L(r)(E,1)/r! |
Ω |
0.520488521381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2173a1 |
Quadratic twists by: 41 |