Atkin-Lehner |
2- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8036c |
Isogeny class |
Conductor |
8036 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
155050087696 = 24 · 78 · 412 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 3 2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1486,11789] |
[a1,a2,a3,a4,a6] |
Generators |
[7:41:1] |
Generators of the group modulo torsion |
j |
3937024/1681 |
j-invariant |
L |
3.2371167749597 |
L(r)(E,1)/r! |
Ω |
0.92590731154269 |
Real period |
R |
1.7480782010276 |
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 |
32144m1 128576i1 72324c1 8036d1 |
Quadratic twists by: -4 8 -3 -7 |