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 |
34148809840771395 = 37 · 5 · 78 · 114 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81113,133782] |
[a1,a2,a3,a4,a6] |
Generators |
[350:3636:1] [-154:3069:1] |
Generators of the group modulo torsion |
j |
80958519405577801/46843360549755 |
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 |
42735e4 |
Quadratic twists by: -3 |