Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bk |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
156065000000 = 26 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1758,20488] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:196:1] [-23:222:1] |
Generators of the group modulo torsion |
j |
601211584/156065 |
j-invariant |
L |
7.0364847603268 |
L(r)(E,1)/r! |
Ω |
0.95915753507652 |
Real period |
R |
3.6680547788309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bs1 14560i1 |
Quadratic twists by: -4 5 |