Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848m |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36112269312 = 215 · 33 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19649,-1053567] |
[a1,a2,a3,a4,a6] |
j |
25604555308424/1102059 |
j-invariant |
L |
1.6129604277313 |
L(r)(E,1)/r! |
Ω |
0.40324010693284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848w4 11424v2 68544cn4 |
Quadratic twists by: -4 8 -3 |