Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296du |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1435947761664 = 219 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80076,-8721520] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:11:1] |
Generators of the group modulo torsion |
j |
297141543217/7514 |
j-invariant |
L |
3.6410819978755 |
L(r)(E,1)/r! |
Ω |
0.28380799195078 |
Real period |
R |
3.2073461948713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000180292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bs2 31824be2 14144u2 |
Quadratic twists by: -4 8 -3 |