Atkin-Lehner |
2+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27550d |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-10720256000000 = -1 · 216 · 56 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 3 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9026,364948] |
[a1,a2,a3,a4,a6] |
j |
-5203798902289/686096384 |
j-invariant |
L |
2.7935820678229 |
L(r)(E,1)/r! |
Ω |
0.69839551695592 |
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 |
1102c1 |
Quadratic twists by: 5 |