Atkin-Lehner |
3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685m |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
898631509747725 = 320 · 52 · 132 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- -2 4 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67869,-6633900] |
[a1,a2,a3,a4,a6] |
j |
47425741951616209/1232690685525 |
j-invariant |
L |
1.1850320662815 |
L(r)(E,1)/r! |
Ω |
0.29625801657106 |
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 |
11895i2 |
Quadratic twists by: -3 |