Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gx |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13785540172185600 = 224 · 34 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60065,420063] |
[a1,a2,a3,a4,a6] |
Generators |
[1:600:1] |
Generators of the group modulo torsion |
j |
91422999252649/52587662400 |
j-invariant |
L |
8.639897733185 |
L(r)(E,1)/r! |
Ω |
0.33855811189422 |
Real period |
R |
3.1899611264348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000617 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360bo2 21840y2 |
Quadratic twists by: -4 8 |