Atkin-Lehner |
3- 5+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205w |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
65236555917225 = 38 · 52 · 74 · 112 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56138,5118792] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:3168:1] [-100:3168:1] |
Generators of the group modulo torsion |
j |
26838592705978201/89487731025 |
j-invariant |
L |
7.3293535833475 |
L(r)(E,1)/r! |
Ω |
0.62253767212716 |
Real period |
R |
1.4716686860678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999469 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42735e2 |
Quadratic twists by: -3 |