Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830t |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
276896064650926050 = 2 · 38 · 52 · 112 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2629260,1641423766] |
[a1,a2,a3,a4,a6] |
Generators |
[947:-127:1] |
Generators of the group modulo torsion |
j |
2757381641970898311361/379829992662450 |
j-invariant |
L |
3.7133521028831 |
L(r)(E,1)/r! |
Ω |
0.29809818224992 |
Real period |
R |
3.1142022360353 |
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 |
5610bb5 84150fu6 |
Quadratic twists by: -3 5 |