Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150w |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
18394272000000000 = 214 · 32 · 59 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-182326,29231048] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:7819:1] |
Generators of the group modulo torsion |
j |
343191135492197/9417867264 |
j-invariant |
L |
4.9181708958154 |
L(r)(E,1)/r! |
Ω |
0.38610620183689 |
Real period |
R |
6.3689353763515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450dr1 33150bu1 |
Quadratic twists by: -3 5 |