Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36600i |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2009340000000 = -1 · 28 · 33 · 57 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-908,-69312] |
[a1,a2,a3,a4,a6] |
j |
-20720464/502335 |
j-invariant |
L |
4.3048229305241 |
L(r)(E,1)/r! |
Ω |
0.35873524420842 |
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 |
73200f1 109800bp1 7320j1 |
Quadratic twists by: -4 -3 5 |