Atkin-Lehner |
2+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6622f |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
411572437892 = 22 · 76 · 11 · 433 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18657636,31017818606] |
[a1,a2,a3,a4,a6] |
Generators |
[2198:23971:1] |
Generators of the group modulo torsion |
j |
718279590876134110626237625/411572437892 |
j-invariant |
L |
1.8948694978883 |
L(r)(E,1)/r! |
Ω |
0.40575028032405 |
Real period |
R |
4.6700386660855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52976r2 59598bh2 46354i2 72842k2 |
Quadratic twists by: -4 -3 -7 -11 |