Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560cm |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3909242648862720 = 213 · 32 · 5 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1872576,-986915916] |
[a1,a2,a3,a4,a6] |
j |
16718302693/90 |
j-invariant |
L |
2.0649512113373 |
L(r)(E,1)/r! |
Ω |
0.12905945071732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5070o2 121680fp2 40560cz2 |
Quadratic twists by: -4 -3 13 |