Atkin-Lehner |
2+ 3+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
12726a |
Isogeny class |
Conductor |
12726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
245199273984 = 218 · 33 · 73 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1653,-9675] |
[a1,a2,a3,a4,a6] |
j |
18506585011851/9081454592 |
j-invariant |
L |
0.78702150049029 |
L(r)(E,1)/r! |
Ω |
0.78702150049029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101808q1 12726f1 89082b1 |
Quadratic twists by: -4 -3 -7 |