Atkin-Lehner |
2+ 3- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822l |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12249588204 = 22 · 37 · 72 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9738,372280] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-94:1] |
Generators of the group modulo torsion |
j |
140097562913953/16803276 |
j-invariant |
L |
4.1420007909454 |
L(r)(E,1)/r! |
Ω |
1.2189550267388 |
Real period |
R |
0.42474913886572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274z2 |
Quadratic twists by: -3 |