Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432l |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
78375184056576 = 28 · 314 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22719,-1247330] |
[a1,a2,a3,a4,a6] |
Generators |
[6935690:577472247:1000] |
Generators of the group modulo torsion |
j |
6949024664272/419963049 |
j-invariant |
L |
6.71254991252 |
L(r)(E,1)/r! |
Ω |
0.39033815609968 |
Real period |
R |
8.5983778521594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18216j2 12144j2 |
Quadratic twists by: -4 -3 |