Atkin-Lehner |
2+ 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52998j |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-12336405831684 = -1 · 22 · 314 · 112 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11- -5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1361,167990] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:50:1] [88:941:1] |
Generators of the group modulo torsion |
j |
2306594978831/101953767204 |
j-invariant |
L |
7.631991775955 |
L(r)(E,1)/r! |
Ω |
0.53994290733048 |
Real period |
R |
0.25240736673732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52998q1 |
Quadratic twists by: -11 |