Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282bf |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11235840 |
Modular degree for the optimal curve |
Δ |
-9.2123525210231E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 1 1 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-734267831,7658578548659] |
[a1,a2,a3,a4,a6] |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
5.8747705462958 |
L(r)(E,1)/r! |
Ω |
0.081594035365302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094k1 774c1 |
Quadratic twists by: -3 -43 |