Atkin-Lehner |
2- 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730cv |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1792057582874002500 = 22 · 36 · 54 · 710 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2550500,1566247500] |
[a1,a2,a3,a4,a6] |
j |
15595936788276412849/15232238122500 |
j-invariant |
L |
6.3151737331219 |
L(r)(E,1)/r! |
Ω |
0.26313224063982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390n2 |
Quadratic twists by: -7 |