Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7866p |
Isogeny class |
Conductor |
7866 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-755136 = -1 · 26 · 33 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19,21] |
[a1,a2,a3,a4,a6] |
Generators |
[3:8:1] |
Generators of the group modulo torsion |
j |
29503629/27968 |
j-invariant |
L |
5.4392212071225 |
L(r)(E,1)/r! |
Ω |
1.8639777859789 |
Real period |
R |
0.97269063469839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62928o1 7866d1 |
Quadratic twists by: -4 -3 |