Atkin-Lehner |
2- 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bw |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
4939200 |
Modular degree for the optimal curve |
Δ |
-1.5637651075809E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 3 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2907661,-2001211759] |
[a1,a2,a3,a4,a6] |
j |
-471596654399334289/27126090000000 |
j-invariant |
L |
4.8396710964207 |
L(r)(E,1)/r! |
Ω |
0.057615130916796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670bn1 |
Quadratic twists by: -7 |