Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200bz |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80537600000000 = 217 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-887008,-321247488] |
[a1,a2,a3,a4,a6] |
j |
1205943158724121/1258400 |
j-invariant |
L |
4.9781460658529 |
L(r)(E,1)/r! |
Ω |
0.15556706452796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150s2 11440r2 |
Quadratic twists by: -4 5 |