Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042dj |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3086428336992 = 25 · 32 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-92268,-10794960] |
[a1,a2,a3,a4,a6] |
Generators |
[438:5514:1] |
Generators of the group modulo torsion |
j |
738395577816625/26234208 |
j-invariant |
L |
11.433239648258 |
L(r)(E,1)/r! |
Ω |
0.27392879006562 |
Real period |
R |
2.0868999650457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126bq2 6006z2 |
Quadratic twists by: -3 -7 |