Atkin-Lehner |
3- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807n |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1435072221 = 37 · 113 · 17 · 29 |
Discriminant |
Eigenvalues |
2 3- -1 1 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3063,-65223] |
[a1,a2,a3,a4,a6] |
j |
4359504941056/1968549 |
j-invariant |
L |
3.8505771174671 |
L(r)(E,1)/r! |
Ω |
0.6417628529133 |
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 |
16269h1 |
Quadratic twists by: -3 |