Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280g |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-247927445913600 = -1 · 219 · 39 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12852,-509328] |
[a1,a2,a3,a4,a6] |
Generators |
[526:12320:1] |
Generators of the group modulo torsion |
j |
45499293/48050 |
j-invariant |
L |
7.9729793530128 |
L(r)(E,1)/r! |
Ω |
0.30046512269173 |
Real period |
R |
3.3169321276368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280dl2 2790d2 89280s2 |
Quadratic twists by: -4 8 -3 |