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 |
6957745355016142848 = 215 · 32 · 710 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-532352,-78847488] |
[a1,a2,a3,a4,a6] |
Generators |
[2448:115248:1] |
Generators of the group modulo torsion |
j |
34623662831857/14438442312 |
j-invariant |
L |
6.3067210635601 |
L(r)(E,1)/r! |
Ω |
0.1834046449835 |
Real period |
R |
2.1491825711832 |
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 |
4998bl4 119952gp3 5712bb4 |
Quadratic twists by: -4 -3 -7 |