Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496d |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
914326479306752 = 217 · 178 |
Discriminant |
Eigenvalues |
2+ 2 0 0 2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55873,4889409] |
[a1,a2,a3,a4,a6] |
Generators |
[321:4464:1] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
7.6304005718244 |
L(r)(E,1)/r! |
Ω |
0.49173132063608 |
Real period |
R |
3.879354563969 |
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 |
18496r2 2312d2 1088d2 |
Quadratic twists by: -4 8 17 |