Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968eg |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-3.8253479121949E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1690491,-3093651286] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/723148272 |
j-invariant |
L |
0.46940616745659 |
L(r)(E,1)/r! |
Ω |
0.058675817658257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246bu1 40656bj1 11088ca1 |
Quadratic twists by: -4 -3 -11 |