Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960n |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
-890560 = -1 · 26 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 11- 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[54:393:1] |
Generators of the group modulo torsion |
j |
-4096/13915 |
j-invariant |
L |
10.237287102709 |
L(r)(E,1)/r! |
Ω |
1.2720195617466 |
Real period |
R |
4.0240289573673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960bi1 1265a1 |
Quadratic twists by: -4 8 |