Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672y |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-123690218950144 = -1 · 29 · 72 · 118 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7141,-482050] |
[a1,a2,a3,a4,a6] |
Generators |
[328100:-23495115:64] |
Generators of the group modulo torsion |
j |
78655817711736/241582458887 |
j-invariant |
L |
6.2282000722048 |
L(r)(E,1)/r! |
Ω |
0.30084686620218 |
Real period |
R |
10.351113426363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672w2 113344ee3 |
Quadratic twists by: -4 8 |