Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042dk |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
686 |
Product of Tamagawa factors cp |
Δ |
444791982921302016 = 214 · 37 · 72 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2337511,1374987977] |
[a1,a2,a3,a4,a6] |
Generators |
[-1738:14597:1] |
Generators of the group modulo torsion |
j |
28826282175168869972161/9077387406557184 |
j-invariant |
L |
10.184167526694 |
L(r)(E,1)/r! |
Ω |
0.29092686576839 |
Real period |
R |
2.5004240694638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
7 |
Number of elements in the torsion subgroup |
Twists |
126126bs2 42042bw2 |
Quadratic twists by: -3 -7 |