Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992j |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1474297856 = 221 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -1 -4 3 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-428,2864] |
[a1,a2,a3,a4,a6] |
Generators |
[22:64:1] [-8:76:1] |
Generators of the group modulo torsion |
j |
33076161/5624 |
j-invariant |
L |
7.9906742117217 |
L(r)(E,1)/r! |
Ω |
1.4425980292542 |
Real period |
R |
1.3847714418152 |
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 |
44992bl1 1406e1 |
Quadratic twists by: -4 8 |