Atkin-Lehner |
2- 3+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44892d |
Isogeny class |
Conductor |
44892 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
15937019136 = 28 · 33 · 29 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -5 6 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4416,112788] |
[a1,a2,a3,a4,a6] |
Generators |
[37:7:1] |
Generators of the group modulo torsion |
j |
1377866612736/2305703 |
j-invariant |
L |
6.9976383641765 |
L(r)(E,1)/r! |
Ω |
1.2397628216099 |
Real period |
R |
2.8221681769272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44892b1 |
Quadratic twists by: -3 |