Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960p |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-22333614718976000 = -1 · 221 · 53 · 115 · 232 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 11- 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162028,-26112848] |
[a1,a2,a3,a4,a6] |
Generators |
[742:-16192:1] |
Generators of the group modulo torsion |
j |
-1794543557503761/85195979000 |
j-invariant |
L |
3.7893277037222 |
L(r)(E,1)/r! |
Ω |
0.11865076295516 |
Real period |
R |
0.79842042500889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960bj1 2530l1 |
Quadratic twists by: -4 8 |