Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282k |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-38045907359424576 = -1 · 26 · 37 · 437 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 -1 -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,41256,-8823168] |
[a1,a2,a3,a4,a6] |
Generators |
[49224:41952:343] |
Generators of the group modulo torsion |
j |
1685159/8256 |
j-invariant |
L |
5.52548479733 |
L(r)(E,1)/r! |
Ω |
0.18359027469167 |
Real period |
R |
3.7621034165683 |
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 |
11094r1 774g1 |
Quadratic twists by: -3 -43 |