Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282u |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-217120008356716176 = -1 · 24 · 33 · 439 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 3 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,105046,18163449] |
[a1,a2,a3,a4,a6] |
Generators |
[-2283:80635:27] |
Generators of the group modulo torsion |
j |
751089429/1272112 |
j-invariant |
L |
7.7994610666804 |
L(r)(E,1)/r! |
Ω |
0.21581871085842 |
Real period |
R |
1.1293421101641 |
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 |
33282e2 774a1 |
Quadratic twists by: -3 -43 |