Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119756a |
Isogeny class |
Conductor |
119756 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-53650688 = -1 · 28 · 73 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 1 0 7- -2 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,356] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] [4:22:1] |
Generators of the group modulo torsion |
j |
2000/611 |
j-invariant |
L |
13.433860191762 |
L(r)(E,1)/r! |
Ω |
1.5448549409919 |
Real period |
R |
1.4493119318564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119756e1 |
Quadratic twists by: -7 |