Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592x |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4457896720662528 = 216 · 39 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53595,-3533814] |
[a1,a2,a3,a4,a6] |
j |
211176358875/55294096 |
j-invariant |
L |
2.5589924461504 |
L(r)(E,1)/r! |
Ω |
0.3198740557688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2574r2 82368cp2 20592s2 |
Quadratic twists by: -4 8 -3 |