Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1716c |
Isogeny class |
Conductor |
1716 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
1934851007232 = 28 · 37 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11044,438020] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:858:1] |
Generators of the group modulo torsion |
j |
581972233018192/7558011747 |
j-invariant |
L |
2.9769833811169 |
L(r)(E,1)/r! |
Ω |
0.83389797969491 |
Real period |
R |
0.084999074729971 |
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 |
6864m2 27456a2 5148c2 42900f2 |
Quadratic twists by: -4 8 -3 5 |