Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680ch |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
4259600654400 = 26 · 38 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4310,-46200] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:234:1] |
Generators of the group modulo torsion |
j |
138380950431424/66556260225 |
j-invariant |
L |
6.893943983775 |
L(r)(E,1)/r! |
Ω |
0.61809643995944 |
Real period |
R |
1.3941885800681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680bs1 87360dz2 |
Quadratic twists by: -4 8 |