Atkin-Lehner |
2- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111188o |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4727808 |
Modular degree for the optimal curve |
Δ |
1.3964635442216E+21 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2910502,-647125819] |
[a1,a2,a3,a4,a6] |
j |
27795313408/14235529 |
j-invariant |
L |
1.4653520912559 |
L(r)(E,1)/r! |
Ω |
0.12211265366608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111188l1 |
Quadratic twists by: -19 |