Atkin-Lehner |
2- 5- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
128650g |
Isogeny class |
Conductor |
128650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
948192 |
Modular degree for the optimal curve |
Δ |
-431677767680000 = -1 · 228 · 54 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3 5- -2 1 -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4470,-994103] |
[a1,a2,a3,a4,a6] |
j |
15807287282175/690684428288 |
j-invariant |
L |
7.1138257697118 |
L(r)(E,1)/r! |
Ω |
0.25406520896852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128650b1 |
Quadratic twists by: 5 |