Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368h |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3501066488832 = 210 · 35 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4981864,4281583648] |
[a1,a2,a3,a4,a6] |
Generators |
[1813503:-469737730:27] |
Generators of the group modulo torsion |
j |
13353633277691465771428/3419010243 |
j-invariant |
L |
4.2834171648771 |
L(r)(E,1)/r! |
Ω |
0.46630678623522 |
Real period |
R |
9.1858349295316 |
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 |
8184g3 65472cm4 49104o4 |
Quadratic twists by: -4 8 -3 |