Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282c |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2724480 |
Modular degree for the optimal curve |
Δ |
-3.5572942169164E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 -5 -3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3413832,1528953152] |
[a1,a2,a3,a4,a6] |
Generators |
[672632176:-78617000120:50653] |
Generators of the group modulo torsion |
j |
324242703/262144 |
j-invariant |
L |
5.4213961620945 |
L(r)(E,1)/r! |
Ω |
0.090619106754303 |
Real period |
R |
7.47827411386 |
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 |
33282s1 33282t1 |
Quadratic twists by: -3 -43 |