Atkin-Lehner |
2+ 3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486j |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-485146584 = -1 · 23 · 310 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 1 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63,1093] |
[a1,a2,a3,a4,a6] |
Generators |
[11:35:1] |
Generators of the group modulo torsion |
j |
-38272753/665496 |
j-invariant |
L |
4.099862804943 |
L(r)(E,1)/r! |
Ω |
1.3987165160025 |
Real period |
R |
0.73279016120083 |
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 |
6162m1 |
Quadratic twists by: -3 |