Atkin-Lehner |
2+ 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
15438f |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-969082652941559424 = -1 · 27 · 32 · 31 · 837 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 -2 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-184842,56365948] |
[a1,a2,a3,a4,a6] |
Generators |
[6370:854433:125] |
Generators of the group modulo torsion |
j |
-698429076859611282457/969082652941559424 |
j-invariant |
L |
5.0666538744334 |
L(r)(E,1)/r! |
Ω |
0.25082690149115 |
Real period |
R |
1.4428430364618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504y1 46314ba1 |
Quadratic twists by: -4 -3 |