Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042dm |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7015325633316 = 22 · 36 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-126127,-17250955] |
[a1,a2,a3,a4,a6] |
Generators |
[7102:187549:8] |
Generators of the group modulo torsion |
j |
1886079023633377/59629284 |
j-invariant |
L |
12.886634762926 |
L(r)(E,1)/r! |
Ω |
0.25333683710466 |
Real period |
R |
4.2389659652987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126by2 858h2 |
Quadratic twists by: -3 -7 |