Atkin-Lehner |
3- 5+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205w |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-37281057766981875 = -1 · 310 · 54 · 72 · 11 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31883,9552606] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:-3223:1] [-1290:26541:8] |
Generators of the group modulo torsion |
j |
-4916555557378921/51139996936875 |
j-invariant |
L |
7.3293535833475 |
L(r)(E,1)/r! |
Ω |
0.31126883606358 |
Real period |
R |
1.4716686860678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735e3 |
Quadratic twists by: -3 |