Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640cy |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
71147765345812480 = 234 · 5 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 2 2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5516332,4986803664] |
[a1,a2,a3,a4,a6] |
Generators |
[695560:48399:512] |
Generators of the group modulo torsion |
j |
70816584854952849249/271407185920 |
j-invariant |
L |
8.6434808042012 |
L(r)(E,1)/r! |
Ω |
0.30384706338814 |
Real period |
R |
7.1117034030574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640bn1 30160n1 |
Quadratic twists by: -4 8 |