Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088u |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-1.2520127631558E+21 |
Discriminant |
Eigenvalues |
2- -1 -1 3 4 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5781896,5617426672] |
[a1,a2,a3,a4,a6] |
Generators |
[404:57856:1] |
Generators of the group modulo torsion |
j |
-110931033861649/6497214464 |
j-invariant |
L |
4.8517696797134 |
L(r)(E,1)/r! |
Ω |
0.15114494543226 |
Real period |
R |
4.0125140029907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386e1 3952j1 |
Quadratic twists by: -4 -19 |