Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992bg |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-852328448 = -1 · 215 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 1 -4 -1 -4 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-1441] |
[a1,a2,a3,a4,a6] |
Generators |
[29:148:1] |
Generators of the group modulo torsion |
j |
-941192/26011 |
j-invariant |
L |
3.0667906588672 |
L(r)(E,1)/r! |
Ω |
0.68692167577623 |
Real period |
R |
1.116135495142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992y1 22496i1 |
Quadratic twists by: -4 8 |