Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640k |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
8641624320 = 28 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567,-2646] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] |
Generators of the group modulo torsion |
j |
11664/5 |
j-invariant |
L |
4.9059391534527 |
L(r)(E,1)/r! |
Ω |
1.0169984407256 |
Real period |
R |
2.4119698501958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280u1 17640bp1 88200fb1 17640g1 |
Quadratic twists by: -4 -3 5 -7 |