Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360p |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30965666310896640 = -1 · 210 · 3 · 5 · 1710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64640,5605840] |
[a1,a2,a3,a4,a6] |
j |
1208446844/1252815 |
j-invariant |
L |
0.98076518972998 |
L(r)(E,1)/r! |
Ω |
0.2451912965724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680x3 4080k4 |
Quadratic twists by: -4 17 |