Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560t |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1927634442240 = 211 · 3 · 5 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1406136,-642253260] |
[a1,a2,a3,a4,a6] |
j |
31103978031362/195 |
j-invariant |
L |
4.436522369393 |
L(r)(E,1)/r! |
Ω |
0.13864132404379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280d4 121680bv4 3120k3 |
Quadratic twists by: -4 -3 13 |