Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47096f |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19680 |
Modular degree for the optimal curve |
Δ |
-10139580416 = -1 · 211 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 4 -5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280,-5264] |
[a1,a2,a3,a4,a6] |
Generators |
[4974:6931:216] |
Generators of the group modulo torsion |
j |
-1682/7 |
j-invariant |
L |
7.8506833817763 |
L(r)(E,1)/r! |
Ω |
0.53135278585251 |
Real period |
R |
4.924966105887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192f1 47096j1 |
Quadratic twists by: -4 29 |