Atkin-Lehner |
7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18473b |
Isogeny class |
Conductor |
18473 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-4036184243 = -1 · 77 · 132 · 29 |
Discriminant |
Eigenvalues |
2 -3 0 7- 0 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2695,-53937] |
[a1,a2,a3,a4,a6] |
Generators |
[4452:19715:64] |
Generators of the group modulo torsion |
j |
-18399744000/34307 |
j-invariant |
L |
5.4922022514603 |
L(r)(E,1)/r! |
Ω |
0.33126941318467 |
Real period |
R |
4.1448153925991 |
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 |
2639a1 |
Quadratic twists by: -7 |