Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bj |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-68599138140000000 = -1 · 28 · 35 · 57 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,68412,-10524219] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2217:1] |
Generators of the group modulo torsion |
j |
2266209994236551/4390344840960 |
j-invariant |
L |
7.5607348982737 |
L(r)(E,1)/r! |
Ω |
0.18130931192725 |
Real period |
R |
2.6062970849049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99450l1 6630j1 |
Quadratic twists by: -3 5 |