Atkin-Lehner |
2- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
44408c |
Isogeny class |
Conductor |
44408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-86684416 = -1 · 28 · 7 · 13 · 612 |
Discriminant |
Eigenvalues |
2- -2 1 7- -2 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1225,16107] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:78:1] [1:122:1] |
Generators of the group modulo torsion |
j |
-794779196416/338611 |
j-invariant |
L |
7.1468161834019 |
L(r)(E,1)/r! |
Ω |
1.8838517084405 |
Real period |
R |
0.94843136423392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88816b1 |
Quadratic twists by: -4 |