Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3872k |
Isogeny class |
Conductor |
3872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-79819452416 = -1 · 212 · 117 |
Discriminant |
Eigenvalues |
2- -1 -3 -4 11- 2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,323,13301] |
[a1,a2,a3,a4,a6] |
Generators |
[59:484:1] |
Generators of the group modulo torsion |
j |
512/11 |
j-invariant |
L |
2.030663087794 |
L(r)(E,1)/r! |
Ω |
0.81113769025877 |
Real period |
R |
0.3129343994523 |
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 |
3872c1 7744g1 34848bc1 96800i1 |
Quadratic twists by: -4 8 -3 5 |