Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38686h |
Isogeny class |
Conductor |
38686 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-2.0474979630254E+19 |
Discriminant |
Eigenvalues |
2- 0 0 4 -2 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-258345,-223430875] |
[a1,a2,a3,a4,a6] |
Generators |
[10850924995460956:562774421647188225:3793496428736] |
Generators of the group modulo torsion |
j |
-3205784543625/34421951708 |
j-invariant |
L |
10.230571910171 |
L(r)(E,1)/r! |
Ω |
0.091768834876612 |
Real period |
R |
18.580330900513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1334b1 |
Quadratic twists by: 29 |