Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472ba |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.9274254930418E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-616605699,-5893311649790] |
[a1,a2,a3,a4,a6] |
Generators |
[-57469688707535771828903566287219:759112664111855183029414139770:4008294831071222392296232547] |
Generators of the group modulo torsion |
j |
8682780835539571156494337/165018482786304 |
j-invariant |
L |
5.7640231263538 |
L(r)(E,1)/r! |
Ω |
0.030296863592719 |
Real period |
R |
47.562869904948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7434e2 19824v2 |
Quadratic twists by: -4 -3 |