Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200cp |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-97785144000000000 = -1 · 212 · 312 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -4 4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2192333,-1250240037] |
[a1,a2,a3,a4,a6] |
j |
-145664420880896/12223143 |
j-invariant |
L |
2.9777070099155 |
L(r)(E,1)/r! |
Ω |
0.062035562681801 |
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 |
55200ca1 110400gx1 55200s1 |
Quadratic twists by: -4 8 5 |