Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680bu |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7978176000000 = 212 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13467,-585974] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:90:1] |
Generators of the group modulo torsion |
j |
90458382169/2671875 |
j-invariant |
L |
5.1506099165962 |
L(r)(E,1)/r! |
Ω |
0.4439829735783 |
Real period |
R |
0.96674313789646 |
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 |
855b2 54720dm2 4560y2 68400fl2 |
Quadratic twists by: -4 8 -3 5 |