Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200y |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-212379596000000 = -1 · 28 · 56 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41733,3341663] |
[a1,a2,a3,a4,a6] |
j |
-2009615368192/53094899 |
j-invariant |
L |
2.2422017784924 |
L(r)(E,1)/r! |
Ω |
0.56055044516442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300f2 2288f2 |
Quadratic twists by: -4 5 |