Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640q |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-7841600 = -1 · 26 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-132] |
[a1,a2,a3,a4,a6] |
Generators |
[264:4290:1] |
Generators of the group modulo torsion |
j |
8489664/122525 |
j-invariant |
L |
4.0063270007594 |
L(r)(E,1)/r! |
Ω |
1.1445964007361 |
Real period |
R |
3.5002093693419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998871482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640p1 60320e2 |
Quadratic twists by: -4 8 |