Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424v |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1440162425078784 = 210 · 38 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35211,-1770230] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:720:1] |
Generators of the group modulo torsion |
j |
3650692/1089 |
j-invariant |
L |
4.2634951996835 |
L(r)(E,1)/r! |
Ω |
0.35654513262404 |
Real period |
R |
2.9894498687346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8712k2 69696gh2 5808n2 1584g2 |
Quadratic twists by: -4 8 -3 -11 |