Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820n |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
5575680 |
Modular degree for the optimal curve |
Δ |
-4.9704770792442E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -5 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-266223,-1073950058] |
[a1,a2,a3,a4,a6] |
Generators |
[1703:58410:1] |
Generators of the group modulo torsion |
j |
-11181316420048336/2663364347160165 |
j-invariant |
L |
6.6693532699799 |
L(r)(E,1)/r! |
Ω |
0.073930111438319 |
Real period |
R |
1.252938820122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38940n1 |
Quadratic twists by: -3 |