Atkin-Lehner |
3- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17613c |
Isogeny class |
Conductor |
17613 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11902565979 = 310 · 19 · 1032 |
Discriminant |
Eigenvalues |
1 3- -2 4 2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-738,5845] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:77:1] |
Generators of the group modulo torsion |
j |
61023377953/16327251 |
j-invariant |
L |
6.3746022461664 |
L(r)(E,1)/r! |
Ω |
1.1865981320718 |
Real period |
R |
2.6860830444071 |
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 |
5871a2 |
Quadratic twists by: -3 |