Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bc |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20728711712217600 = -1 · 29 · 32 · 52 · 712 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8016,-6929820] |
[a1,a2,a3,a4,a6] |
j |
-111270759917192/40485765062925 |
j-invariant |
L |
0.68769485608639 |
L(r)(E,1)/r! |
Ω |
0.17192371406357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680q2 87360dd3 |
Quadratic twists by: -4 8 |