Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992bh |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-872784330752 = -1 · 225 · 19 · 372 |
Discriminant |
Eigenvalues |
2- -1 2 -1 2 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4897,140993] |
[a1,a2,a3,a4,a6] |
Generators |
[61:256:1] |
Generators of the group modulo torsion |
j |
-49552182217/3329408 |
j-invariant |
L |
5.7479367679216 |
L(r)(E,1)/r! |
Ω |
0.87366452042205 |
Real period |
R |
0.82238900538501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992c1 11248j1 |
Quadratic twists by: -4 8 |