Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680cu |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.257507504E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81948,170852272] |
[a1,a2,a3,a4,a6] |
j |
-5095552972624/1052841796875 |
j-invariant |
L |
2.2018525244439 |
L(r)(E,1)/r! |
Ω |
0.18348771037035 |
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 |
31680k2 7920l2 10560ch2 |
Quadratic twists by: -4 8 -3 |