Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830s |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19677134466000000 = 27 · 314 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83565,-6374619] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:1776:1] |
Generators of the group modulo torsion |
j |
88526309511756241/26991954000000 |
j-invariant |
L |
2.4289384298688 |
L(r)(E,1)/r! |
Ω |
0.28745392723445 |
Real period |
R |
2.1124589018815 |
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 |
5610bl2 84150ew2 |
Quadratic twists by: -3 5 |