Atkin-Lehner |
2- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17264d |
Isogeny class |
Conductor |
17264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3.4081289669501E+22 |
Discriminant |
Eigenvalues |
2- -1 3 1 6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22467944,41950183792] |
[a1,a2,a3,a4,a6] |
Generators |
[143844:54525952:1] |
Generators of the group modulo torsion |
j |
-306234264167996269810537/8320627360718127104 |
j-invariant |
L |
5.6392922780957 |
L(r)(E,1)/r! |
Ω |
0.11606326551437 |
Real period |
R |
2.0245037096447 |
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 |
2158b2 69056m2 |
Quadratic twists by: -4 8 |