Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bd |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25579524096 = 212 · 32 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3337,72695] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:360:1] |
Generators of the group modulo torsion |
j |
1003604321728/6245001 |
j-invariant |
L |
7.0737850181075 |
L(r)(E,1)/r! |
Ω |
1.1983577949748 |
Real period |
R |
2.9514494952052 |
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 |
22848q2 11424m1 68544bg2 |
Quadratic twists by: -4 8 -3 |