Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bs |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5935104 |
Modular degree for the optimal curve |
Δ |
-1.4875400232563E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158356919,-766977338097] |
[a1,a2,a3,a4,a6] |
j |
-3369853043629824680811/11414181695488 |
j-invariant |
L |
4.5963592032083 |
L(r)(E,1)/r! |
Ω |
0.021279440755554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33462n1 2574b1 |
Quadratic twists by: -3 13 |