Atkin-Lehner |
2+ 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670y |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-922493396160 = -1 · 26 · 39 · 5 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-221890401143,-40230560764192102] |
[a1,a2,a3,a4,a6] |
j |
-503207491402588971565970331464134921/384212160 |
j-invariant |
L |
1.6903286706802 |
L(r)(E,1)/r! |
Ω |
0.0034780428653642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670d2 |
Quadratic twists by: -7 |