Atkin-Lehner |
3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4959h |
Isogeny class |
Conductor |
4959 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-32535999 = -1 · 310 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 0 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,76,78] |
[a1,a2,a3,a4,a6] |
j |
67419143/44631 |
j-invariant |
L |
1.302730080327 |
L(r)(E,1)/r! |
Ω |
1.302730080327 |
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 |
79344bn1 1653b1 123975bg1 94221i1 |
Quadratic twists by: -4 -3 5 -19 |