Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096c |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-2.0915765097533E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1480452,-59280480] |
[a1,a2,a3,a4,a6] |
j |
1401736707877453022000/817022074122378423 |
j-invariant |
L |
1.2608086620345 |
L(r)(E,1)/r! |
Ω |
0.10506738850287 |
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 |
9048h1 72384dg1 54288c1 |
Quadratic twists by: -4 8 -3 |