Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640bn |
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 |
[-1355:111:1] [94050:9975927:8] |
Generators of the group modulo torsion |
j |
70816584854952849249/271407185920 |
j-invariant |
L |
11.33766016769 |
L(r)(E,1)/r! |
Ω |
0.098511528015535 |
Real period |
R |
28.772419834046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640cy1 3770d1 |
Quadratic twists by: -4 8 |