Atkin-Lehner |
3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779b |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
788613 = 3 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1903,31160] |
[a1,a2,a3,a4,a6] |
Generators |
[13:87:1] [45:175:1] |
Generators of the group modulo torsion |
j |
762174369888625/788613 |
j-invariant |
L |
3.9752433666868 |
L(r)(E,1)/r! |
Ω |
2.3801360646224 |
Real period |
R |
3.3403496764527 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50337g2 117453t2 |
Quadratic twists by: -3 -7 |