Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bf |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1699036768000000000 = -1 · 214 · 59 · 11 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-574408,178723188] |
[a1,a2,a3,a4,a6] |
j |
-327495950129089/26547449500 |
j-invariant |
L |
1.0415175741626 |
L(r)(E,1)/r! |
Ω |
0.26037939313348 |
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 |
7150g3 11440i3 |
Quadratic twists by: -4 5 |