Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992cj |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
176606976 = 28 · 3 · 72 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13- -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252,1320] |
[a1,a2,a3,a4,a6] |
j |
6940769488/689871 |
j-invariant |
L |
1.7531283969323 |
L(r)(E,1)/r! |
Ω |
1.7531284486314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748i2 |
Quadratic twists by: -4 |