Atkin-Lehner |
2- 3- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73776s |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
6418512 = 24 · 32 · 292 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-149,642] |
[a1,a2,a3,a4,a6] |
j |
23018340352/401157 |
j-invariant |
L |
2.3813824429942 |
L(r)(E,1)/r! |
Ω |
2.3813824745391 |
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 |
18444c1 |
Quadratic twists by: -4 |