Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120i |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15433591120640000 = 211 · 54 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64043,1785658] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1100:1] |
Generators of the group modulo torsion |
j |
120564797922/64054375 |
j-invariant |
L |
5.143879655095 |
L(r)(E,1)/r! |
Ω |
0.34443991726219 |
Real period |
R |
0.93337752778083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560m3 6160d4 |
Quadratic twists by: -4 -7 |