Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320m |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2170880 |
Modular degree for the optimal curve |
Δ |
5.9436157250409E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2239526,1236246440] |
[a1,a2,a3,a4,a6] |
j |
19409406620533069986496/928689957037642865 |
j-invariant |
L |
0.78096917205599 |
L(r)(E,1)/r! |
Ω |
0.19524229254629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60320o1 120640dg2 |
Quadratic twists by: -4 8 |