Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848by |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
812201049096192 = 215 · 36 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23329,-23327] |
[a1,a2,a3,a4,a6] |
Generators |
[271:3672:1] |
Generators of the group modulo torsion |
j |
42852953779784/24786408969 |
j-invariant |
L |
3.4895410019212 |
L(r)(E,1)/r! |
Ω |
0.42306864585419 |
Real period |
R |
2.0620418436326 |
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 |
22848cx2 11424g2 68544dm2 |
Quadratic twists by: -4 8 -3 |