Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bm |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2.1304096665319E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69617438518,-7070099217161992] |
[a1,a2,a3,a4,a6] |
j |
7730680381889320597382223137569/441370202660156250000 |
j-invariant |
L |
4.0151687719507 |
L(r)(E,1)/r! |
Ω |
0.0092943719013507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630w6 |
Quadratic twists by: 13 |