Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104cs |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
197068388785717248 = 219 · 312 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 0 -4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184179,21665842] |
[a1,a2,a3,a4,a6] |
j |
327163297/93312 |
j-invariant |
L |
1.1835436208717 |
L(r)(E,1)/r! |
Ω |
0.29588615361571 |
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 |
15138n1 40368br1 121104bw1 |
Quadratic twists by: -4 -3 29 |