Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
79764g |
Isogeny class |
Conductor |
79764 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
900864 |
Modular degree for the optimal curve |
Δ |
1108115476484351232 = 28 · 3 · 179 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 1 0 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288229,-31438105] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:2622:1] |
Generators of the group modulo torsion |
j |
87228416/36501 |
j-invariant |
L |
6.8112652487581 |
L(r)(E,1)/r! |
Ω |
0.21385386457729 |
Real period |
R |
5.3083486572845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79764e1 |
Quadratic twists by: 17 |