Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7866k |
Isogeny class |
Conductor |
7866 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
353422786166784 = 221 · 36 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71361,7299261] |
[a1,a2,a3,a4,a6] |
Generators |
[49:1955:1] |
Generators of the group modulo torsion |
j |
55129288688387857/484804919296 |
j-invariant |
L |
2.8686906604787 |
L(r)(E,1)/r! |
Ω |
0.54118527489723 |
Real period |
R |
5.300755200746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62928be1 874f1 |
Quadratic twists by: -4 -3 |