Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ey |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-194724601344000000 = -1 · 215 · 38 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160865,-32618463] |
[a1,a2,a3,a4,a6] |
Generators |
[739:15860:1] |
Generators of the group modulo torsion |
j |
-14049509645755592/5942523234375 |
j-invariant |
L |
5.010464731729 |
L(r)(E,1)/r! |
Ω |
0.11678052641487 |
Real period |
R |
3.5754139888955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360hc2 43680m2 |
Quadratic twists by: -4 8 |