Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640u |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
56878080 = 210 · 3 · 5 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
96550276/55545 |
j-invariant |
L |
7.6225189736912 |
L(r)(E,1)/r! |
Ω |
1.6576020167784 |
Real period |
R |
2.2992608890836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320c1 115920by1 |
Quadratic twists by: -4 -3 |