Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320bl |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
10053120 |
Modular degree for the optimal curve |
Δ |
-6.5419422621426E+23 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 3 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14931787,-44805671066] |
[a1,a2,a3,a4,a6] |
Generators |
[82914:7647185:8] |
Generators of the group modulo torsion |
j |
-81827458276332553146/145394071242004375 |
j-invariant |
L |
4.0086706713538 |
L(r)(E,1)/r! |
Ω |
0.036239870977707 |
Real period |
R |
0.81334504917264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640be1 47320g1 |
Quadratic twists by: -4 13 |