Atkin-Lehner |
3- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
66297t |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-34464343828761 = -1 · 310 · 76 · 112 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7986,66429] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-681:1] |
Generators of the group modulo torsion |
j |
478762350767/292942089 |
j-invariant |
L |
3.950940022073 |
L(r)(E,1)/r! |
Ω |
0.40288692988186 |
Real period |
R |
0.49032864178095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1353b2 |
Quadratic twists by: -7 |