Atkin-Lehner |
2- 3+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bi |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.4481769623196E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4226312,-3351591539] |
[a1,a2,a3,a4,a6] |
Generators |
[11385660:866595451:1728] |
Generators of the group modulo torsion |
j |
-424147574749944149307/1243802754823750 |
j-invariant |
L |
8.7981754751107 |
L(r)(E,1)/r! |
Ω |
0.052638427428126 |
Real period |
R |
13.928632091424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330c2 |
Quadratic twists by: -3 |