Atkin-Lehner |
3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775g |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27336375 = 32 · 53 · 11 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-308,-2194] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:8:1] [-10:7:1] |
Generators of the group modulo torsion |
j |
25855561493/218691 |
j-invariant |
L |
4.5312207644629 |
L(r)(E,1)/r! |
Ω |
1.1401870967687 |
Real period |
R |
1.9870514134493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325bj2 38775o2 |
Quadratic twists by: -3 5 |