Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680s |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-1.873855648E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -1 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95719883,360455849082] |
[a1,a2,a3,a4,a6] |
Generators |
[5663:2030:1] |
Generators of the group modulo torsion |
j |
-9862297098921556998849/19053906250000 |
j-invariant |
L |
5.5575176214121 |
L(r)(E,1)/r! |
Ω |
0.15413528700852 |
Real period |
R |
2.003116783051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999957901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210j1 113680bp1 |
Quadratic twists by: -4 -7 |