Atkin-Lehner |
2- 3- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890bc |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
7311360 |
Modular degree for the optimal curve |
Δ |
-4.63063744512E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85579046,304729274340] |
[a1,a2,a3,a4,a6] |
Generators |
[4108:147946:1] |
Generators of the group modulo torsion |
j |
-69314809654601220097030271329/4630637445120000000000 |
j-invariant |
L |
9.070104433648 |
L(r)(E,1)/r! |
Ω |
0.13051973973563 |
Real period |
R |
0.27145392348831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122670bb1 |
Quadratic twists by: -3 |