Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
89082n |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.5077562831764E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134217036,-598411642928] |
[a1,a2,a3,a4,a6] |
Generators |
[8921287843180554929916250167083726859381:1509860198330064976181682476096335093424117:267325737096004811073545883552809891] |
Generators of the group modulo torsion |
j |
9089432249389543351/852462804992 |
j-invariant |
L |
5.3551203119225 |
L(r)(E,1)/r! |
Ω |
0.044355766398017 |
Real period |
R |
60.365548293358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9898i2 89082v2 |
Quadratic twists by: -3 -7 |