Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830u |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
87453930960000 = 27 · 312 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105840,-13219200] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:155:1] |
Generators of the group modulo torsion |
j |
179865548102096641/119964240000 |
j-invariant |
L |
2.7037982108395 |
L(r)(E,1)/r! |
Ω |
0.26470021342415 |
Real period |
R |
2.5536418878014 |
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 |
5610bk2 84150fz2 |
Quadratic twists by: -3 5 |