Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600h |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-6706800000000 = -1 · 210 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2992,106512] |
[a1,a2,a3,a4,a6] |
j |
185073116/419175 |
j-invariant |
L |
2.0841901920806 |
L(r)(E,1)/r! |
Ω |
0.52104754802039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13800k1 110400il1 82800r1 5520j1 |
Quadratic twists by: -4 8 -3 5 |