Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3432g |
Isogeny class |
Conductor |
3432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23218212086784 = 210 · 38 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7144,-14276] |
[a1,a2,a3,a4,a6] |
j |
39383007958948/22674035241 |
j-invariant |
L |
1.1304095459149 |
L(r)(E,1)/r! |
Ω |
0.56520477295743 |
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 |
6864h3 27456x4 10296d3 85800ba4 |
Quadratic twists by: -4 8 -3 5 |