Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520br |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
576348333120000 = 29 · 37 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5000940016,-136122808277716] |
[a1,a2,a3,a4,a6] |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
2.010734205603 |
L(r)(E,1)/r! |
Ω |
0.017952983978599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23520bf4 47040fk4 70560bs4 117600bc4 |
Quadratic twists by: -4 8 -3 5 |