Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680f |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12283514880 = -1 · 212 · 3 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,335,-4895] |
[a1,a2,a3,a4,a6] |
Generators |
[27:152:1] [138:605:8] |
Generators of the group modulo torsion |
j |
1012048064/2998905 |
j-invariant |
L |
8.0664101544285 |
L(r)(E,1)/r! |
Ω |
0.64944484626306 |
Real period |
R |
12.420469884154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680x2 87360fy1 |
Quadratic twists by: -4 8 |