Atkin-Lehner |
2- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
42640o |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-873267200 = -1 · 216 · 52 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3 5- 0 -2 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,-1414] |
[a1,a2,a3,a4,a6] |
Generators |
[309:710:27] |
Generators of the group modulo torsion |
j |
4019679/213200 |
j-invariant |
L |
11.145603434506 |
L(r)(E,1)/r! |
Ω |
0.75550324217157 |
Real period |
R |
3.6881388498289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5330f1 |
Quadratic twists by: -4 |