Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bz |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10862423212032 = 215 · 34 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169729,26970433] |
[a1,a2,a3,a4,a6] |
Generators |
[241:72:1] |
Generators of the group modulo torsion |
j |
16502300582616584/331494849 |
j-invariant |
L |
2.8566031711785 |
L(r)(E,1)/r! |
Ω |
0.66347049283396 |
Real period |
R |
1.0763866675429 |
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 |
22848cy4 11424u3 68544dn4 |
Quadratic twists by: -4 8 -3 |