Atkin-Lehner |
3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775c |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-102421875 = -1 · 3 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ -5 3 -1 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-500] |
[a1,a2,a3,a4,a6] |
j |
-117649/6555 |
j-invariant |
L |
1.6584697583825 |
L(r)(E,1)/r! |
Ω |
0.82923487919286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325bb1 6555j1 |
Quadratic twists by: -3 5 |