Atkin-Lehner |
2- 3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370br |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-323457300 = -1 · 22 · 38 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392,-3009] |
[a1,a2,a3,a4,a6] |
Generators |
[101:939:1] |
Generators of the group modulo torsion |
j |
-9116230969/443700 |
j-invariant |
L |
10.576809335331 |
L(r)(E,1)/r! |
Ω |
0.5350615275898 |
Real period |
R |
2.4709329651731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14790a1 |
Quadratic twists by: -3 |