Atkin-Lehner |
2+ 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142k |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.8196239757254E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-391944672,2986753290318] |
[a1,a2,a3,a4,a6] |
Generators |
[11697:-55398:1] |
Generators of the group modulo torsion |
j |
9134199227099641402801626625/3867796948868834058 |
j-invariant |
L |
5.3227682729592 |
L(r)(E,1)/r! |
Ω |
0.11655137137688 |
Real period |
R |
1.1417215023534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714k2 |
Quadratic twists by: -3 |