Atkin-Lehner |
2+ 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984r |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-85749397880832 = -1 · 215 · 33 · 7 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3103,-441567] |
[a1,a2,a3,a4,a6] |
Generators |
[223909:5732740:343] |
Generators of the group modulo torsion |
j |
100804318264/2616863949 |
j-invariant |
L |
5.7163045684061 |
L(r)(E,1)/r! |
Ω |
0.29315895683296 |
Real period |
R |
9.749496702398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81984z3 40992k2 |
Quadratic twists by: -4 8 |