Atkin-Lehner |
2- 3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
87516h |
Isogeny class |
Conductor |
87516 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
13791592880208 = 24 · 38 · 112 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7320,161809] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:459:1] [3:374:1] |
Generators of the group modulo torsion |
j |
3718856704000/1182406797 |
j-invariant |
L |
10.857826433788 |
L(r)(E,1)/r! |
Ω |
0.65226361507053 |
Real period |
R |
0.69359906686533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29172h1 |
Quadratic twists by: -3 |