Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738u |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
301568 |
Modular degree for the optimal curve |
Δ |
3066996170637836 = 22 · 29 · 319 |
Discriminant |
Eigenvalues |
2- 0 -1 -2 -4 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-98683,11655263] |
[a1,a2,a3,a4,a6] |
j |
4019679/116 |
j-invariant |
L |
1.7919328763972 |
L(r)(E,1)/r! |
Ω |
0.44798321925143 |
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 |
55738o1 |
Quadratic twists by: -31 |