Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960cd |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
-4560308403200 = -1 · 210 · 52 · 114 · 233 |
Discriminant |
Eigenvalues |
2- -3 5- 2 11- 7 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10972,-454136] |
[a1,a2,a3,a4,a6] |
j |
-142653079805184/4453426175 |
j-invariant |
L |
1.862474009618 |
L(r)(E,1)/r! |
Ω |
0.23280925449703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960z1 20240b1 |
Quadratic twists by: -4 8 |