Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296m |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2779509178368 = -1 · 214 · 310 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1860,74032] |
[a1,a2,a3,a4,a6] |
Generators |
[24:364:1] |
Generators of the group modulo torsion |
j |
59582000/232713 |
j-invariant |
L |
5.4309141264219 |
L(r)(E,1)/r! |
Ω |
0.57457689312866 |
Real period |
R |
2.3630058339906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998605483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cl2 7956f2 42432p2 |
Quadratic twists by: -4 8 -3 |