Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158bj |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-15164068943424384 = -1 · 27 · 33 · 179 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 4 -2 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11566,5943044] |
[a1,a2,a3,a4,a6] |
Generators |
[602:14438:1] |
Generators of the group modulo torsion |
j |
-1442897/127872 |
j-invariant |
L |
13.610472052818 |
L(r)(E,1)/r! |
Ω |
0.32400660894534 |
Real period |
R |
1.0001612604496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64158bd1 |
Quadratic twists by: 17 |