Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738l |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
121800 |
Modular degree for the optimal curve |
Δ |
-102950426996 = -1 · 22 · 29 · 316 |
Discriminant |
Eigenvalues |
2+ 3 -3 -2 1 -3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1141,-21127] |
[a1,a2,a3,a4,a6] |
Generators |
[4206:48863:27] |
Generators of the group modulo torsion |
j |
-185193/116 |
j-invariant |
L |
5.6104781069872 |
L(r)(E,1)/r! |
Ω |
0.39937207917686 |
Real period |
R |
7.0241241180073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58a1 |
Quadratic twists by: -31 |