Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110ca |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-18925156250 = -1 · 2 · 57 · 7 · 113 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1196,16743] |
[a1,a2,a3,a4,a6] |
j |
-142154918459/14218750 |
j-invariant |
L |
2.3846058682208 |
L(r)(E,1)/r! |
Ω |
1.1923031290501 |
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 |
110110b1 |
Quadratic twists by: -11 |