Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644g |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
18923854096 = 24 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 1 3 7- 3 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41134,3197389] |
[a1,a2,a3,a4,a6] |
Generators |
[360735:615943:3375] |
Generators of the group modulo torsion |
j |
406749952 |
j-invariant |
L |
9.4546947272324 |
L(r)(E,1)/r! |
Ω |
1.0576781011209 |
Real period |
R |
8.9391041728364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56644b2 196a2 |
Quadratic twists by: -7 17 |