Atkin-Lehner |
2+ 3+ 11+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77418c |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.6652711325006E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1098372,-2879182900] |
[a1,a2,a3,a4,a6] |
Generators |
[1580453:107672494:343] |
Generators of the group modulo torsion |
j |
7445271799730180781/186215065411807652 |
j-invariant |
L |
3.3957479137932 |
L(r)(E,1)/r! |
Ω |
0.067839734844186 |
Real period |
R |
12.513860504764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991514 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77418t2 |
Quadratic twists by: -3 |