Atkin-Lehner |
7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139p |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2183808 |
Modular degree for the optimal curve |
Δ |
8.75218813508E+19 |
Discriminant |
Eigenvalues |
0 2 4 7- 5 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1891351,-893650246] |
[a1,a2,a3,a4,a6] |
j |
5054443262672896/591220696157 |
j-invariant |
L |
5.707709234159 |
L(r)(E,1)/r! |
Ω |
0.12972066440114 |
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 |
2093b1 |
Quadratic twists by: -23 |