Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33320i |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-20480337920 = -1 · 211 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,6880] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1813:8] |
Generators of the group modulo torsion |
j |
-2/85 |
j-invariant |
L |
6.4934205028998 |
L(r)(E,1)/r! |
Ω |
0.96889235013045 |
Real period |
R |
3.350950444611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640c1 680b1 |
Quadratic twists by: -4 -7 |