Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600fg |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-21168000000 = -1 · 210 · 33 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,2037] |
[a1,a2,a3,a4,a6] |
Generators |
[1:52:1] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
3.9877991005519 |
L(r)(E,1)/r! |
Ω |
0.75574583708279 |
Real period |
R |
2.6383202558847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600cn1 8400ci1 100800oe1 1344p1 |
Quadratic twists by: -4 8 -3 5 |