Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bi |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
2294784000000 = 216 · 33 · 56 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4321,82945] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:125:1] |
Generators of the group modulo torsion |
j |
136174906084/35015625 |
j-invariant |
L |
3.4891048442892 |
L(r)(E,1)/r! |
Ω |
0.76705534708329 |
Real period |
R |
2.2743501215708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680q1 19920f1 |
Quadratic twists by: -4 8 |