Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bv |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58767987179520 = 224 · 36 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-982668,-374936848] |
[a1,a2,a3,a4,a6] |
Generators |
[69420710952:1511525042020:50243409] |
Generators of the group modulo torsion |
j |
549131937598369/307520 |
j-invariant |
L |
5.672974094209 |
L(r)(E,1)/r! |
Ω |
0.15163444493085 |
Real period |
R |
18.706086560547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ej2 2790m2 9920o2 |
Quadratic twists by: -4 8 -3 |