Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ce |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12559712256000000 = -1 · 223 · 34 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56959,1321695] |
[a1,a2,a3,a4,a6] |
Generators |
[139:3456:1] |
Generators of the group modulo torsion |
j |
77958456780959/47911500000 |
j-invariant |
L |
6.9358695158715 |
L(r)(E,1)/r! |
Ω |
0.24674438738966 |
Real period |
R |
1.7568458159595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360et2 2730u2 |
Quadratic twists by: -4 8 |