Atkin-Lehner |
2- 3- 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
94428f |
Isogeny class |
Conductor |
94428 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
13216898304 = 28 · 39 · 43 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 0 4 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,2324] |
[a1,a2,a3,a4,a6] |
j |
143982592/70821 |
j-invariant |
L |
2.2357664191346 |
L(r)(E,1)/r! |
Ω |
1.1178831096295 |
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 |
31476b1 |
Quadratic twists by: -3 |