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 |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-9673554434544 = -1 · 24 · 33 · 76 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7547,-294015] |
[a1,a2,a3,a4,a6] |
Generators |
[124:763:1] |
Generators of the group modulo torsion |
j |
-404075127457/82223856 |
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 |
126126by1 858h1 |
Quadratic twists by: -3 -7 |