Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gv |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
567000000 = 26 · 34 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-308,1638] |
[a1,a2,a3,a4,a6] |
j |
3241792/567 |
j-invariant |
L |
3.1208027047018 |
L(r)(E,1)/r! |
Ω |
1.5604013523521 |
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 |
33600er1 16800k3 100800oa1 1344k1 |
Quadratic twists by: -4 8 -3 5 |