Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800df |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
21323250000 = 24 · 38 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,14375] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:162:1] |
Generators of the group modulo torsion |
j |
1048576/117 |
j-invariant |
L |
4.9109316202278 |
L(r)(E,1)/r! |
Ω |
1.1717686263606 |
Real period |
R |
2.0955210396235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11700i1 15600ba1 1872t1 |
Quadratic twists by: -4 -3 5 |