Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610bn |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9225216 |
Modular degree for the optimal curve |
Δ |
-1.365361158755E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,970479,-5609423721] |
[a1,a2,a3,a4,a6] |
j |
123918255921551/16737890625000 |
j-invariant |
L |
2.8517139360953 |
L(r)(E,1)/r! |
Ω |
0.059410702538816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610k1 |
Quadratic twists by: 13 |