Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4002l |
Isogeny class |
Conductor |
4002 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
64064016 = 24 · 32 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-127,341] |
[a1,a2,a3,a4,a6] |
j |
226646274673/64064016 |
j-invariant |
L |
3.6563870656023 |
L(r)(E,1)/r! |
Ω |
1.8281935328011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32016bd2 128064bk2 12006c2 100050bb2 |
Quadratic twists by: -4 8 -3 5 |