Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282t |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-562741641216 = -1 · 218 · 33 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -5 -3 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1846,-19703] |
[a1,a2,a3,a4,a6] |
Generators |
[11:37:1] [97:983:1] |
Generators of the group modulo torsion |
j |
324242703/262144 |
j-invariant |
L |
9.7333670876687 |
L(r)(E,1)/r! |
Ω |
0.51099248631065 |
Real period |
R |
0.26455507197659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33282d1 33282c1 |
Quadratic twists by: -3 -43 |