Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680f |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
119246400 = 26 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190,-800] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:10:1] [-8:12:1] |
Generators of the group modulo torsion |
j |
11914842304/1863225 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
43680x1 87360fy2 |
Quadratic twists by: -4 8 |