Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472h |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
465174528 = 217 · 3 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-605697,-181237503] |
[a1,a2,a3,a4,a6] |
j |
187491149065688834/3549 |
j-invariant |
L |
2.7381398251039 |
L(r)(E,1)/r! |
Ω |
0.17113373906899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472cm5 2184m5 52416co6 122304eg6 |
Quadratic twists by: -4 8 -3 -7 |