Atkin-Lehner |
2- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024h |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-397054448 = -1 · 24 · 72 · 17 · 313 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -3 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,62,-961] |
[a1,a2,a3,a4,a6] |
j |
1620896000/24815903 |
j-invariant |
L |
1.6485344010063 |
L(r)(E,1)/r! |
Ω |
0.82426720124332 |
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 |
14756a1 |
Quadratic twists by: -4 |