Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850bi |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-996195585937500 = -1 · 22 · 38 · 510 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10063,1563281] |
[a1,a2,a3,a4,a6] |
j |
-7212549413161/63756517500 |
j-invariant |
L |
1.6899214783122 |
L(r)(E,1)/r! |
Ω |
0.42248036960274 |
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 |
8970g1 |
Quadratic twists by: 5 |