Atkin-Lehner |
2- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
22576g |
Isogeny class |
Conductor |
22576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-53448409088 = -1 · 217 · 173 · 83 |
Discriminant |
Eigenvalues |
2- -1 0 4 3 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11288,-458000] |
[a1,a2,a3,a4,a6] |
j |
-38837676489625/13048928 |
j-invariant |
L |
1.3894873584861 |
L(r)(E,1)/r! |
Ω |
0.23158122641435 |
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 |
2822a1 90304s1 |
Quadratic twists by: -4 8 |