Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872bx |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1259993277075456 = 212 · 32 · 710 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30592,1161280] |
[a1,a2,a3,a4,a6] |
j |
6570725617/2614689 |
j-invariant |
L |
1.7606760228146 |
L(r)(E,1)/r! |
Ω |
0.44016900570372 |
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 |
1617g2 103488hy2 77616fk2 3696w2 |
Quadratic twists by: -4 8 -3 -7 |