Atkin-Lehner |
2- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68432h |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2925354838654976 = -1 · 230 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 3 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92465065672,10822207936108016] |
[a1,a2,a3,a4,a6] |
Generators |
[2108314439746:360199474:12008989] |
Generators of the group modulo torsion |
j |
-21345032063621264911802983894803913/714197958656 |
j-invariant |
L |
3.7291967209278 |
L(r)(E,1)/r! |
Ω |
0.071309911148383 |
Real period |
R |
13.073907472581 |
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 |
8554i3 |
Quadratic twists by: -4 |