Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680f |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6472327680 = 29 · 34 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-840,8820] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:98:1] [-4:110:1] |
Generators of the group modulo torsion |
j |
128176534088/12641265 |
j-invariant |
L |
8.0664101544285 |
L(r)(E,1)/r! |
Ω |
1.2988896925261 |
Real period |
R |
3.1051174710384 |
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 |
43680x3 87360fy3 |
Quadratic twists by: -4 8 |