Atkin-Lehner |
2- 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
80592bi |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
23883660298027008 = 236 · 32 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1507352,711770772] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:28530:1] |
Generators of the group modulo torsion |
j |
92471541382840119193/5830971752448 |
j-invariant |
L |
8.1955200259481 |
L(r)(E,1)/r! |
Ω |
0.35952633340718 |
Real period |
R |
5.6988315337891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074i1 |
Quadratic twists by: -4 |