Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bh |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6789120 |
Modular degree for the optimal curve |
Δ |
-1.0230187301101E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,390105,1535905021] |
[a1,a2,a3,a4,a6] |
j |
11040615599/1720320000 |
j-invariant |
L |
1.4410854834815 |
L(r)(E,1)/r! |
Ω |
0.12009040863433 |
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 |
35490cp1 106470ge1 |
Quadratic twists by: -3 13 |