Atkin-Lehner |
3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11913d |
Isogeny class |
Conductor |
11913 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-95838246240363 = -1 · 33 · 11 · 199 |
Discriminant |
Eigenvalues |
0 3+ 0 2 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10852863,13765080881] |
[a1,a2,a3,a4,a6] |
Generators |
[238745:71957:125] |
Generators of the group modulo torsion |
j |
-3004935183806464000/2037123 |
j-invariant |
L |
3.5375798125614 |
L(r)(E,1)/r! |
Ω |
0.37093488766351 |
Real period |
R |
2.3842323344431 |
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 |
35739n2 627b2 |
Quadratic twists by: -3 -19 |