Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66978o |
Isogeny class |
Conductor |
66978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.9032987563242E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17247533,34655280995] |
[a1,a2,a3,a4,a6] |
Generators |
[-44381183220:1989084222553:10648000] |
Generators of the group modulo torsion |
j |
-15107691357361/5067577806 |
j-invariant |
L |
10.785581532338 |
L(r)(E,1)/r! |
Ω |
0.095170237054782 |
Real period |
R |
14.166169311591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22326f2 1098e2 |
Quadratic twists by: -3 61 |