Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12546j |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
164628612 = 22 · 310 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185,789] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] |
Generators of the group modulo torsion |
j |
955671625/225828 |
j-invariant |
L |
7.3989143878598 |
L(r)(E,1)/r! |
Ω |
1.706451974158 |
Real period |
R |
2.1679234165118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100368bj1 4182c1 |
Quadratic twists by: -4 -3 |