Atkin-Lehner |
2+ 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746j |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-35195886582948 = -1 · 22 · 38 · 73 · 13 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-488412,131501988] |
[a1,a2,a3,a4,a6] |
Generators |
[402:-138:1] |
Generators of the group modulo torsion |
j |
-17674846927300914625/48279679812 |
j-invariant |
L |
5.2192337699116 |
L(r)(E,1)/r! |
Ω |
0.56675408195907 |
Real period |
R |
2.3022479803121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014975 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36582m2 |
Quadratic twists by: -3 |