Atkin-Lehner |
2+ 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850bf |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-24515430468750 = -1 · 2 · 33 · 58 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2451,242548] |
[a1,a2,a3,a4,a6] |
j |
-4166188105/62759502 |
j-invariant |
L |
3.4128729125331 |
L(r)(E,1)/r! |
Ω |
0.56881215206942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44850bm1 |
Quadratic twists by: 5 |