Atkin-Lehner |
2+ 3- 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582o |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3254384163085862976 = 26 · 310 · 134 · 174 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1191411,493257397] |
[a1,a2,a3,a4,a6] |
j |
256555426724011627057/4464175806702144 |
j-invariant |
L |
2.0160679227946 |
L(r)(E,1)/r! |
Ω |
0.25200849180305 |
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 |
25194v3 |
Quadratic twists by: -3 |