Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920ej |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-5.7745749961851E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18305787,32287092266] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:190440:1] |
Generators of the group modulo torsion |
j |
-227196402372228188089/19338934824115200 |
j-invariant |
L |
6.1107762757828 |
L(r)(E,1)/r! |
Ω |
0.10903116983636 |
Real period |
R |
2.3352558458426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490ca1 38640bd1 |
Quadratic twists by: -4 -3 |