Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738i |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
12931216 = 24 · 292 · 312 |
Discriminant |
Eigenvalues |
2+ -1 3 -5 -3 -3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6731,209773] |
[a1,a2,a3,a4,a6] |
Generators |
[42:37:1] |
Generators of the group modulo torsion |
j |
35102650265977/13456 |
j-invariant |
L |
1.8400744294052 |
L(r)(E,1)/r! |
Ω |
1.8188340796043 |
Real period |
R |
0.25291950074187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738a1 |
Quadratic twists by: -31 |