Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904s |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
417667497984 = 214 · 36 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1969,13489] |
[a1,a2,a3,a4,a6] |
j |
51553893328/25492401 |
j-invariant |
L |
1.6753992563331 |
L(r)(E,1)/r! |
Ω |
0.83769962815921 |
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 |
35904cm2 4488e2 107712bm2 |
Quadratic twists by: -4 8 -3 |