Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360s |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
675067904000 = 214 · 53 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -6 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14634656,21553619456] |
[a1,a2,a3,a4,a6] |
j |
84627468364197487202209/164811500 |
j-invariant |
L |
1.6644772835068 |
L(r)(E,1)/r! |
Ω |
0.41611932087671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170n4 69440dg4 86800bz4 121520dc4 |
Quadratic twists by: -4 8 5 -7 |