Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648bc |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
83763996587360208 = 24 · 316 · 74 · 373 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116238,-6226715] |
[a1,a2,a3,a4,a6] |
j |
14890887676143616/7181412601797 |
j-invariant |
L |
3.2556898653102 |
L(r)(E,1)/r! |
Ω |
0.27130748877585 |
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 |
37296bg1 6216j1 |
Quadratic twists by: -4 -3 |