Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670cn |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
110791476097428420 = 22 · 38 · 5 · 712 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2031590,1114272480] |
[a1,a2,a3,a4,a6] |
j |
7882131658048916689/941712008580 |
j-invariant |
L |
5.1330340428881 |
L(r)(E,1)/r! |
Ω |
0.32081462984798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810j1 |
Quadratic twists by: -7 |