Atkin-Lehner |
2+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
9064a |
Isogeny class |
Conductor |
9064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-29874944 = -1 · 28 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ -1 -1 0 11+ -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-841,9677] |
[a1,a2,a3,a4,a6] |
Generators |
[17:2:1] [41:206:1] |
Generators of the group modulo torsion |
j |
-257269341184/116699 |
j-invariant |
L |
4.7329940462982 |
L(r)(E,1)/r! |
Ω |
2.0606690509808 |
Real period |
R |
0.28710299478014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18128a1 72512i1 81576l1 99704e1 |
Quadratic twists by: -4 8 -3 -11 |