Atkin-Lehner |
2+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6622f |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-5.4142129114769E+20 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-380271,1123105250] |
[a1,a2,a3,a4,a6] |
Generators |
[170:32524:1] |
Generators of the group modulo torsion |
j |
-6081373687548915771625/541421291147691716608 |
j-invariant |
L |
1.8948694978883 |
L(r)(E,1)/r! |
Ω |
0.13525009344135 |
Real period |
R |
0.77833977768092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52976r3 59598bh3 46354i3 72842k3 |
Quadratic twists by: -4 -3 -7 -11 |