Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924h |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.4522373055762E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11676372240,485635035942277] |
[a1,a2,a3,a4,a6] |
Generators |
[39682995222:621956335:636056] |
Generators of the group modulo torsion |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
4.762520801593 |
L(r)(E,1)/r! |
Ω |
0.075951403036997 |
Real period |
R |
7.8381053721562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308f3 5148e3 |
Quadratic twists by: -3 13 |