Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800k |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
441000000 = 26 · 32 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358,-2288] |
[a1,a2,a3,a4,a6] |
j |
5088448/441 |
j-invariant |
L |
2.2067407552417 |
L(r)(E,1)/r! |
Ω |
1.1033703776209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16800q1 33600gv2 50400dv1 672f1 |
Quadratic twists by: -4 8 -3 5 |