Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850bh |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
269952 |
Modular degree for the optimal curve |
Δ |
-270414643200 = -1 · 219 · 3 · 52 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-344293,-77900629] |
[a1,a2,a3,a4,a6] |
j |
-180537889439091492985/10816585728 |
j-invariant |
L |
3.7447350814802 |
L(r)(E,1)/r! |
Ω |
0.098545660036351 |
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 |
44850bg1 |
Quadratic twists by: 5 |