Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776r |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
702680875925504 = 226 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34904,2173424] |
[a1,a2,a3,a4,a6] |
Generators |
[-27099:1347794:729] |
Generators of the group modulo torsion |
j |
9759185353/1458176 |
j-invariant |
L |
7.6284611921458 |
L(r)(E,1)/r! |
Ω |
0.48764689961952 |
Real period |
R |
7.8217058265296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8722i1 1424e1 |
Quadratic twists by: -4 -7 |