Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042dm |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
39286142425007478 = 2 · 312 · 76 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131517,-15697557] |
[a1,a2,a3,a4,a6] |
Generators |
[-1242:8559:8] |
Generators of the group modulo torsion |
j |
2138362647385537/333926700822 |
j-invariant |
L |
12.886634762926 |
L(r)(E,1)/r! |
Ω |
0.25333683710466 |
Real period |
R |
2.1194829826494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126by3 858h3 |
Quadratic twists by: -3 -7 |