Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042di |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-150607308852 = -1 · 22 · 310 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1182,10296] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-168:1] |
Generators of the group modulo torsion |
j |
532425757625/439088364 |
j-invariant |
L |
11.023486337231 |
L(r)(E,1)/r! |
Ω |
0.6647136715187 |
Real period |
R |
0.8291905830701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126bp2 42042cm2 |
Quadratic twists by: -3 -7 |