Atkin-Lehner |
2+ 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290k |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
6.12725874516E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13492931754,603267636883060] |
[a1,a2,a3,a4,a6] |
Generators |
[66596:-243298:1] |
Generators of the group modulo torsion |
j |
10061875034656315127038554254336763/2269355090800000000 |
j-invariant |
L |
4.6815056354422 |
L(r)(E,1)/r! |
Ω |
0.080321844345774 |
Real period |
R |
0.52039588731459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290bt2 |
Quadratic twists by: -3 |