Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520cs |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4087812096000 = 215 · 36 · 53 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4001,3999] |
[a1,a2,a3,a4,a6] |
j |
216216072008/124750125 |
j-invariant |
L |
3.9855663069745 |
L(r)(E,1)/r! |
Ω |
0.66426105116328 |
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 |
35520bw2 17760h2 106560gm2 |
Quadratic twists by: -4 8 -3 |