Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680o |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-21550145126400 = -1 · 214 · 314 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748,-230128] |
[a1,a2,a3,a4,a6] |
j |
-192143824/1804275 |
j-invariant |
L |
1.1517067171926 |
L(r)(E,1)/r! |
Ω |
0.28792667929715 |
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 |
31680cx2 3960k2 10560m2 |
Quadratic twists by: -4 8 -3 |