Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ca |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2827810043486208000 = 216 · 322 · 53 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1134732,458163056] |
[a1,a2,a3,a4,a6] |
j |
3382175663521924/59189241375 |
j-invariant |
L |
3.0595738064448 |
L(r)(E,1)/r! |
Ω |
0.25496448387062 |
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 |
31680dq4 3960c3 10560d3 |
Quadratic twists by: -4 8 -3 |