Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150ej |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.3057838175586E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51230,-173902103] |
[a1,a2,a3,a4,a6] |
j |
-1305392995089/1146367137500 |
j-invariant |
L |
6.4683474189073 |
L(r)(E,1)/r! |
Ω |
0.10106794380466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350c1 22230u1 |
Quadratic twists by: -3 5 |