Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168cf |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
6574608 = 24 · 35 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62,123] |
[a1,a2,a3,a4,a6] |
Generators |
[7:9:1] |
Generators of the group modulo torsion |
j |
1674035968/410913 |
j-invariant |
L |
9.3497708724595 |
L(r)(E,1)/r! |
Ω |
2.2274186021717 |
Real period |
R |
0.83951627804518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292d1 |
Quadratic twists by: -4 |