Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13464j |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5499662883922944 = 210 · 312 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257691,-50223130] |
[a1,a2,a3,a4,a6] |
Generators |
[107332:4164633:64] |
Generators of the group modulo torsion |
j |
2535093488117092/7367303889 |
j-invariant |
L |
3.4167231378005 |
L(r)(E,1)/r! |
Ω |
0.21193398709988 |
Real period |
R |
8.0608192781045 |
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 |
26928j2 107712z2 4488f2 |
Quadratic twists by: -4 8 -3 |