Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ed |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
48197095485603840 = 221 · 314 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92748,2574992] |
[a1,a2,a3,a4,a6] |
Generators |
[754:19008:1] |
Generators of the group modulo torsion |
j |
461710681489/252204840 |
j-invariant |
L |
7.653660145031 |
L(r)(E,1)/r! |
Ω |
0.31128948248036 |
Real period |
R |
3.0733692347376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280bo2 22320bu2 29760bx2 |
Quadratic twists by: -4 8 -3 |