Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592n |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
37403303198976 = 28 · 310 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42519,3361750] |
[a1,a2,a3,a4,a6] |
j |
45551779131472/200420649 |
j-invariant |
L |
2.6105690225139 |
L(r)(E,1)/r! |
Ω |
0.65264225562847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10296d2 82368dq2 6864h2 |
Quadratic twists by: -4 8 -3 |