Atkin-Lehner |
2+ 3+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150d |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4450267089843750 = -1 · 2 · 33 · 512 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30625,-3828125] |
[a1,a2,a3,a4,a6] |
Generators |
[62625:-3039125:27] |
Generators of the group modulo torsion |
j |
-203307844496401/284817093750 |
j-invariant |
L |
4.1005350850631 |
L(r)(E,1)/r! |
Ω |
0.17168710753107 |
Real period |
R |
5.9709420682234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430br2 |
Quadratic twists by: 5 |