Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33320j |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
16660000000 = 28 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6281,189419] |
[a1,a2,a3,a4,a6] |
Generators |
[41:50:1] |
Generators of the group modulo torsion |
j |
2184958483456/1328125 |
j-invariant |
L |
5.87254018032 |
L(r)(E,1)/r! |
Ω |
1.2216584625605 |
Real period |
R |
2.4035114396915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640d1 33320p1 |
Quadratic twists by: -4 -7 |