Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120t |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40584199040000 = 210 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8640,-43100] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:490:1] |
Generators of the group modulo torsion |
j |
592143556/336875 |
j-invariant |
L |
3.5382117153401 |
L(r)(E,1)/r! |
Ω |
0.53517885270804 |
Real period |
R |
0.82640870837813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560u2 6160b2 |
Quadratic twists by: -4 -7 |