Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bs |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
35375867916189696 = 218 · 34 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-250112,47370240] |
[a1,a2,a3,a4,a6] |
Generators |
[482:6210:1] |
Generators of the group modulo torsion |
j |
3590714269297/73410624 |
j-invariant |
L |
6.3067210635601 |
L(r)(E,1)/r! |
Ω |
0.366809289967 |
Real period |
R |
4.2983651423664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4998bl2 119952gp2 5712bb2 |
Quadratic twists by: -4 -3 -7 |