Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cj |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
37586239488 = 215 · 34 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3297,-73377] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:24:1] |
Generators of the group modulo torsion |
j |
120993582536/1147041 |
j-invariant |
L |
7.1545934155016 |
L(r)(E,1)/r! |
Ω |
0.63038717467342 |
Real period |
R |
0.70934515553954 |
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 |
22848cb2 11424b2 68544ea2 |
Quadratic twists by: -4 8 -3 |