Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800bc |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3528000000000 = -1 · 212 · 32 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2833,106463] |
[a1,a2,a3,a4,a6] |
Generators |
[17:252:1] |
Generators of the group modulo torsion |
j |
-314432/441 |
j-invariant |
L |
5.6874174427267 |
L(r)(E,1)/r! |
Ω |
0.7119647089898 |
Real period |
R |
1.99708544922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800bp2 33600bv1 50400ef2 16800bq2 |
Quadratic twists by: -4 8 -3 5 |