Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800q |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-57624000000 = -1 · 29 · 3 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,11288] |
[a1,a2,a3,a4,a6] |
j |
830584/7203 |
j-invariant |
L |
3.2610453084261 |
L(r)(E,1)/r! |
Ω |
0.81526132710653 |
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 |
16800k4 33600er3 50400di2 672e4 |
Quadratic twists by: -4 8 -3 5 |