Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328u |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
544768 |
Modular degree for the optimal curve |
Δ |
-319794089873559552 = -1 · 212 · 38 · 177 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 3 0 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,130223,-20281633] |
[a1,a2,a3,a4,a6] |
j |
59624330780157632/78074728973037 |
j-invariant |
L |
5.2154142104643 |
L(r)(E,1)/r! |
Ω |
0.16298169408194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328c1 94656c1 |
Quadratic twists by: -4 8 |