Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
82908a |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
88020486667008 = 28 · 33 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40719,-3130218] |
[a1,a2,a3,a4,a6] |
Generators |
[1099:35770:1] |
Generators of the group modulo torsion |
j |
9181699056/108241 |
j-invariant |
L |
8.5412431521512 |
L(r)(E,1)/r! |
Ω |
0.33632549120383 |
Real period |
R |
4.2326275056422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82908g2 11844b2 |
Quadratic twists by: -3 -7 |