Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800n |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-196875000000000 = -1 · 29 · 32 · 514 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11592,478188] |
[a1,a2,a3,a4,a6] |
j |
21531355768/24609375 |
j-invariant |
L |
3.0137879044732 |
L(r)(E,1)/r! |
Ω |
0.37672348805916 |
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 |
16800h4 33600ec3 50400cx2 3360n4 |
Quadratic twists by: -4 8 -3 5 |