Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640q |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
223907840 = 212 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308,-1952] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:4:1] |
Generators of the group modulo torsion |
j |
788889024/54665 |
j-invariant |
L |
4.0063270007594 |
L(r)(E,1)/r! |
Ω |
1.1445964007361 |
Real period |
R |
1.7501046846709 |
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 |
120640p2 60320e1 |
Quadratic twists by: -4 8 |