Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3366j |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1259336605824 = 27 · 314 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12638223,17296430445] |
[a1,a2,a3,a4,a6] |
Generators |
[2065:-70:1] |
Generators of the group modulo torsion |
j |
306234591284035366263793/1727485056 |
j-invariant |
L |
2.5676609135472 |
L(r)(E,1)/r! |
Ω |
0.41810684935577 |
Real period |
R |
3.0705798260702 |
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 |
26928be4 107712y4 1122k3 84150gd4 |
Quadratic twists by: -4 8 -3 5 |