Atkin-Lehner |
17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6137b |
Isogeny class |
Conductor |
6137 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13596259609 = 172 · 196 |
Discriminant |
Eigenvalues |
1 0 -2 4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2053,35880] |
[a1,a2,a3,a4,a6] |
Generators |
[144834:3667543:216] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
4.5032717448857 |
L(r)(E,1)/r! |
Ω |
1.2598315095873 |
Real period |
R |
7.1490063720675 |
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 |
98192v2 55233g2 104329d2 17a2 |
Quadratic twists by: -4 -3 17 -19 |