Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738r |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2618880 |
Modular degree for the optimal curve |
Δ |
1.7646269167382E+20 |
Discriminant |
Eigenvalues |
2- 3 -1 -1 1 1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2481963,-1361948165] |
[a1,a2,a3,a4,a6] |
Generators |
[-18195:64730:27] |
Generators of the group modulo torsion |
j |
2062968129/215296 |
j-invariant |
L |
15.749465396092 |
L(r)(E,1)/r! |
Ω |
0.12109329214918 |
Real period |
R |
8.1287870680476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738t1 |
Quadratic twists by: -31 |