Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
22748h |
Isogeny class |
Conductor |
22748 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
64152 |
Modular degree for the optimal curve |
Δ |
-19504943299952 = -1 · 24 · 1110 · 47 |
Discriminant |
Eigenvalues |
2- 1 2 -4 11- -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34162,2428237] |
[a1,a2,a3,a4,a6] |
j |
-10624768/47 |
j-invariant |
L |
0.68904166565383 |
L(r)(E,1)/r! |
Ω |
0.68904166565387 |
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 |
90992q1 22748g1 |
Quadratic twists by: -4 -11 |