Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bh |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
12660572160 = 216 · 36 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-603,-1782] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:54:1] |
Generators of the group modulo torsion |
j |
8120601/4240 |
j-invariant |
L |
6.0279556289575 |
L(r)(E,1)/r! |
Ω |
1.0205656358897 |
Real period |
R |
1.4766212522188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770y1 4240f1 |
Quadratic twists by: -4 -3 |