Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992y |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
8 |
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 |
[-3:40:1] [8:37:1] |
Generators of the group modulo torsion |
j |
-941192/26011 |
j-invariant |
L |
6.4881038631201 |
L(r)(E,1)/r! |
Ω |
1.3236538341881 |
Real period |
R |
0.61270776538595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992bg1 22496m1 |
Quadratic twists by: -4 8 |