Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080bc |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
461952720 = 24 · 36 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118812,-15762989] |
[a1,a2,a3,a4,a6] |
j |
15902196690141184/39605 |
j-invariant |
L |
2.3143390690734 |
L(r)(E,1)/r! |
Ω |
0.25714878584994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16020c1 7120k1 |
Quadratic twists by: -4 -3 |