Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502k |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
175200 |
Modular degree for the optimal curve |
Δ |
-3186899157078 = -1 · 2 · 36 · 7 · 135 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 1 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66393,6601819] |
[a1,a2,a3,a4,a6] |
Generators |
[9:2446:1] |
Generators of the group modulo torsion |
j |
-44398340949270673/4371603782 |
j-invariant |
L |
4.0261950193452 |
L(r)(E,1)/r! |
Ω |
0.7636933921803 |
Real period |
R |
0.52720045250908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278e1 |
Quadratic twists by: -3 |