Atkin-Lehner |
3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13083i |
Isogeny class |
Conductor |
13083 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-1908654951934143 = -1 · 312 · 79 · 89 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19256,-1831537] |
[a1,a2,a3,a4,a6] |
j |
6711696261647/16223299407 |
j-invariant |
L |
0.72564901881681 |
L(r)(E,1)/r! |
Ω |
0.24188300627227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39249g1 1869b1 |
Quadratic twists by: -3 -7 |