Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3366h |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3997616355216 = 24 · 310 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222156,40358272] |
[a1,a2,a3,a4,a6] |
Generators |
[204:1768:1] |
Generators of the group modulo torsion |
j |
1663303207415737537/5483698704 |
j-invariant |
L |
2.912237725318 |
L(r)(E,1)/r! |
Ω |
0.68353985234361 |
Real period |
R |
1.0651309193359 |
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 |
26928bc4 107712ba4 1122e3 84150ft4 |
Quadratic twists by: -4 8 -3 5 |