Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111188k |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20093184 |
Modular degree for the optimal curve |
Δ |
1.3964635442216E+21 |
Discriminant |
Eigenvalues |
2- 3 1 7+ 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161207077,787812990533] |
[a1,a2,a3,a4,a6] |
j |
4723022671255296/14235529 |
j-invariant |
L |
6.3505782969179 |
L(r)(E,1)/r! |
Ω |
0.13230373834647 |
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 |
111188e1 |
Quadratic twists by: -19 |