Atkin-Lehner |
3+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325m |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
1087922838181640625 = 38 · 59 · 293 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-262638,-12977094] |
[a1,a2,a3,a4,a6] |
Generators |
[1264:40313:1] |
Generators of the group modulo torsion |
j |
1025808903350477/557016493149 |
j-invariant |
L |
2.3040455688859 |
L(r)(E,1)/r! |
Ω |
0.22491226568446 |
Real period |
R |
5.1220988294926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994066272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128325y1 |
Quadratic twists by: 5 |