Atkin-Lehner |
3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487b |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
48652627392603 = 33 · 138 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 4 -2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9158,36274] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:430:1] |
Generators of the group modulo torsion |
j |
651714363/373321 |
j-invariant |
L |
4.5384473138923 |
L(r)(E,1)/r! |
Ω |
0.54360565152203 |
Real period |
R |
2.087196527909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71487e2 5499d2 |
Quadratic twists by: -3 13 |