Atkin-Lehner |
2- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
22624h |
Isogeny class |
Conductor |
22624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
20271104 = 212 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 0 1 7- 6 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9512,-357072] |
[a1,a2,a3,a4,a6] |
j |
23236958854656/4949 |
j-invariant |
L |
1.9337111042537 |
L(r)(E,1)/r! |
Ω |
0.48342777606343 |
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 |
22624c1 45248i1 |
Quadratic twists by: -4 8 |