Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200ck |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
21196800 = 212 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 -5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1473,-22257] |
[a1,a2,a3,a4,a6] |
j |
3454035520/207 |
j-invariant |
L |
3.0823777003437 |
L(r)(E,1)/r! |
Ω |
0.77059442500801 |
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 |
55200a1 110400bb1 55200l1 |
Quadratic twists by: -4 8 5 |