Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6936m |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2002066523136 = 210 · 34 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7032,-218880] |
[a1,a2,a3,a4,a6] |
Generators |
[-1464:2080:27] |
Generators of the group modulo torsion |
j |
1556068/81 |
j-invariant |
L |
5.3140607516736 |
L(r)(E,1)/r! |
Ω |
0.52303187046696 |
Real period |
R |
5.0800544400184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13872b4 55488k3 20808l4 24a2 |
Quadratic twists by: -4 8 -3 17 |