Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720cu |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
3095040000 = 212 · 3 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-536,-4140] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] |
Generators of the group modulo torsion |
j |
4165509529/755625 |
j-invariant |
L |
5.7875066481771 |
L(r)(E,1)/r! |
Ω |
1.0044517123473 |
Real period |
R |
2.8809282569808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6045b1 |
Quadratic twists by: -4 |