Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5168j |
Isogeny class |
Conductor |
5168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
15027857358848 = 215 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 2 0 -2 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14608,658368] |
[a1,a2,a3,a4,a6] |
Generators |
[234:3162:1] |
Generators of the group modulo torsion |
j |
84171637140625/3668910488 |
j-invariant |
L |
5.0374040158312 |
L(r)(E,1)/r! |
Ω |
0.69351698881632 |
Real period |
R |
2.4211875109356 |
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 |
646e2 20672bg2 46512v2 129200bl2 |
Quadratic twists by: -4 8 -3 5 |