Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616p |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-25870213204416 = -1 · 26 · 33 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3694,-258296] |
[a1,a2,a3,a4,a6] |
j |
-87126842162368/404222081319 |
j-invariant |
L |
1.1097434516096 |
L(r)(E,1)/r! |
Ω |
0.27743586290281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35616z1 71232da2 106848k1 |
Quadratic twists by: -4 8 -3 |