Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bo |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-277771161600 = -1 · 212 · 36 · 52 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,468,-25056] |
[a1,a2,a3,a4,a6] |
Generators |
[28:100:1] [60:468:1] |
Generators of the group modulo torsion |
j |
3796416/93025 |
j-invariant |
L |
11.031542088549 |
L(r)(E,1)/r! |
Ω |
0.47316454240471 |
Real period |
R |
5.8285971897577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840q2 9760a2 |
Quadratic twists by: -4 -3 |