Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bh |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-1686287452545432000 = -1 · 26 · 38 · 53 · 113 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,162846,57087828] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:6110:1] |
Generators of the group modulo torsion |
j |
655127711084516831/2313151512408000 |
j-invariant |
L |
3.3969466026135 |
L(r)(E,1)/r! |
Ω |
0.18865392209765 |
Real period |
R |
3.0010389437289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
5610be3 84150fq3 |
Quadratic twists by: -3 5 |