Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042ct |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
-64300590354 = -1 · 2 · 3 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,979,3219] |
[a1,a2,a3,a4,a6] |
Generators |
[-8022:54165:2744] |
Generators of the group modulo torsion |
j |
17999471/11154 |
j-invariant |
L |
10.179804468587 |
L(r)(E,1)/r! |
Ω |
0.68248378436217 |
Real period |
R |
7.4579094052008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126bk1 42042cf1 |
Quadratic twists by: -3 -7 |