Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110466bk |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-4186256652576 = -1 · 25 · 310 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -2 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3317,123693] |
[a1,a2,a3,a4,a6] |
j |
-42471289/44064 |
j-invariant |
L |
7.0886532331779 |
L(r)(E,1)/r! |
Ω |
0.7088653184722 |
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 |
36822a1 110466r1 |
Quadratic twists by: -3 -19 |