Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bs |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3009921534885888 = 215 · 38 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3981952,3059711488] |
[a1,a2,a3,a4,a6] |
Generators |
[14447726:25177230:12167] |
Generators of the group modulo torsion |
j |
14489843500598257/6246072 |
j-invariant |
L |
6.3067210635601 |
L(r)(E,1)/r! |
Ω |
0.366809289967 |
Real period |
R |
8.5967302847328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998bl3 119952gp4 5712bb3 |
Quadratic twists by: -4 -3 -7 |