Atkin-Lehner |
2+ 3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970r |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
8.9036015492137E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1876734,-878833260] |
[a1,a2,a3,a4,a6] |
j |
1002777267111226465249/122134451978240000 |
j-invariant |
L |
1.0401362154739 |
L(r)(E,1)/r! |
Ω |
0.13001702704531 |
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: -3 |