Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160ck |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
64094146560 = 212 · 310 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1227,11194] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:162:1] |
Generators of the group modulo torsion |
j |
68417929/21465 |
j-invariant |
L |
4.2234282019986 |
L(r)(E,1)/r! |
Ω |
1.0214175928584 |
Real period |
R |
1.0337173139384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2385i1 12720z1 |
Quadratic twists by: -4 -3 |