Atkin-Lehner |
2- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640m |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
5.0026271530287E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3336416,-2083160320] |
[a1,a2,a3,a4,a6] |
j |
1002777267111226465249/122134451978240000 |
j-invariant |
L |
1.3511765801417 |
L(r)(E,1)/r! |
Ω |
0.11259804834577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330e1 |
Quadratic twists by: -4 |