Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280fj |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
645644390400 = 212 · 38 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11172,452864] |
[a1,a2,a3,a4,a6] |
j |
51645087424/216225 |
j-invariant |
L |
3.6609451190163 |
L(r)(E,1)/r! |
Ω |
0.91523626952541 |
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 |
89280gd2 44640l1 29760bs2 |
Quadratic twists by: -4 8 -3 |