Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320x |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4392396190000 = -1 · 24 · 54 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3718,-50531] |
[a1,a2,a3,a4,a6] |
Generators |
[70070:1668537:125] |
Generators of the group modulo torsion |
j |
73598976/56875 |
j-invariant |
L |
5.7881502731708 |
L(r)(E,1)/r! |
Ω |
0.43272012671481 |
Real period |
R |
6.6880992075796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94640bf1 3640c1 |
Quadratic twists by: -4 13 |