Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bw |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
267279925248 = 221 · 32 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24417,-1460223] |
[a1,a2,a3,a4,a6] |
Generators |
[183:408:1] |
Generators of the group modulo torsion |
j |
6141556990297/1019592 |
j-invariant |
L |
4.5066898485948 |
L(r)(E,1)/r! |
Ω |
0.3819260867826 |
Real period |
R |
2.9499751421537 |
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 |
22848bm2 5712s2 68544do2 |
Quadratic twists by: -4 8 -3 |