Atkin-Lehner |
2+ 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
44650c |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-142880000000000 = -1 · 214 · 510 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 5 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11549,-319202] |
[a1,a2,a3,a4,a6] |
j |
17446602575/14630912 |
j-invariant |
L |
2.5673388245951 |
L(r)(E,1)/r! |
Ω |
0.32091735309932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44650y1 |
Quadratic twists by: 5 |