Atkin-Lehner |
2+ 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850a |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-181351872000000 = -1 · 212 · 36 · 56 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1800,648000] |
[a1,a2,a3,a4,a6] |
j |
41242421375/11606519808 |
j-invariant |
L |
1.7643033808497 |
L(r)(E,1)/r! |
Ω |
0.44107584519556 |
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 |
1794i1 |
Quadratic twists by: 5 |