Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2436c |
Isogeny class |
Conductor |
2436 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
4421720016 = 24 · 34 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897,9540] |
[a1,a2,a3,a4,a6] |
j |
4994190819328/276357501 |
j-invariant |
L |
2.7191246526657 |
L(r)(E,1)/r! |
Ω |
1.3595623263328 |
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 |
9744j1 38976c1 7308c1 60900b1 |
Quadratic twists by: -4 8 -3 5 |