Atkin-Lehner |
2+ 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328o |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-50771963904 = -1 · 212 · 3 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -3 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,659,8891] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:87:1] [25:204:1] |
Generators of the group modulo torsion |
j |
7715442176/12395499 |
j-invariant |
L |
9.3321425949397 |
L(r)(E,1)/r! |
Ω |
0.76787523913477 |
Real period |
R |
1.0127668010946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328h1 94656bi1 |
Quadratic twists by: -4 8 |