Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3366h |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16974268160256 = 28 · 38 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14076,614992] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:1124:1] |
Generators of the group modulo torsion |
j |
423108074414017/23284318464 |
j-invariant |
L |
2.912237725318 |
L(r)(E,1)/r! |
Ω |
0.68353985234361 |
Real period |
R |
2.1302618386719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26928bc2 107712ba2 1122e2 84150ft2 |
Quadratic twists by: -4 8 -3 5 |