Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760bd |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-83957350400 = -1 · 215 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6816,-214784] |
[a1,a2,a3,a4,a6] |
Generators |
[96:80:1] |
Generators of the group modulo torsion |
j |
-584043889/1400 |
j-invariant |
L |
4.7375134832154 |
L(r)(E,1)/r! |
Ω |
0.26267545076526 |
Real period |
R |
2.2544519622354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470x1 67760bp1 |
Quadratic twists by: -4 -11 |