Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44944m |
Isogeny class |
Conductor |
44944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
127296 |
Modular degree for the optimal curve |
Δ |
-79927730765824 = -1 · 229 · 533 |
Discriminant |
Eigenvalues |
2- -2 -1 4 -1 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5176,451668] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2048:1] |
Generators of the group modulo torsion |
j |
-25153757/131072 |
j-invariant |
L |
4.2888106890223 |
L(r)(E,1)/r! |
Ω |
0.52808350828175 |
Real period |
R |
1.0151828786931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618e1 44944l1 |
Quadratic twists by: -4 53 |