Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496c |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1828652958613504 = 218 · 178 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105196,-12970320] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:192:1] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
3.0371728240595 |
L(r)(E,1)/r! |
Ω |
0.26532198883664 |
Real period |
R |
2.8617801688588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18496j2 289a2 1088e2 |
Quadratic twists by: -4 8 17 |