Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11781j |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-32403840777 = -1 · 38 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11- -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,513,7290] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:66:1] |
Generators of the group modulo torsion |
j |
20458415375/44449713 |
j-invariant |
L |
5.620673301174 |
L(r)(E,1)/r! |
Ω |
0.81085466147509 |
Real period |
R |
0.86647360621769 |
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 |
3927e2 82467y2 129591j2 |
Quadratic twists by: -3 -7 -11 |