Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040n |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5975982628070400 = 210 · 32 · 52 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-585680,-172284528] |
[a1,a2,a3,a4,a6] |
Generators |
[2689:133000:1] |
Generators of the group modulo torsion |
j |
12247559771044/3294225 |
j-invariant |
L |
5.0008452335784 |
L(r)(E,1)/r! |
Ω |
0.17258037341558 |
Real period |
R |
7.2442264647561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14520u4 116160hr4 87120s4 2640f4 |
Quadratic twists by: -4 8 -3 -11 |