Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16920a |
Isogeny class |
Conductor |
16920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-55654076160 = -1 · 28 · 39 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297,11178] |
[a1,a2,a3,a4,a6] |
Generators |
[31:224:1] |
Generators of the group modulo torsion |
j |
574992/11045 |
j-invariant |
L |
5.4191700207858 |
L(r)(E,1)/r! |
Ω |
0.83392434541526 |
Real period |
R |
3.2491976344013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33840c2 16920k2 84600bg2 |
Quadratic twists by: -4 -3 5 |