Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bb |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-92009375744000000 = -1 · 217 · 56 · 112 · 135 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11+ 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111992,-2249488] |
[a1,a2,a3,a4,a6] |
j |
2427173723519/1437646496 |
j-invariant |
L |
1.5864773946177 |
L(r)(E,1)/r! |
Ω |
0.19830967474998 |
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 |
7150f1 2288e1 |
Quadratic twists by: -4 5 |