Atkin-Lehner |
2- 3- 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
89244b |
Isogeny class |
Conductor |
89244 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2598589382291903232 = 28 · 310 · 376 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412455,66179918] |
[a1,a2,a3,a4,a6] |
j |
41580138984946000/13924197221643 |
j-invariant |
L |
0.4724184825013 |
L(r)(E,1)/r! |
Ω |
0.2362092074142 |
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 |
29748a2 |
Quadratic twists by: -3 |