Atkin-Lehner |
2- 3- 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682ca |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
6045696 |
Modular degree for the optimal curve |
Δ |
-4.8752534431363E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1582249,-736390929] |
[a1,a2,a3,a4,a6] |
Generators |
[683:-26082:1] |
Generators of the group modulo torsion |
j |
600925911289257100247/668759045697709824 |
j-invariant |
L |
7.951788474053 |
L(r)(E,1)/r! |
Ω |
0.089461966179827 |
Real period |
R |
0.92588094364277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032758 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36894e1 |
Quadratic twists by: -3 |