Atkin-Lehner |
2+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832d |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-22983535795109888 = -1 · 222 · 413 · 433 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31167,6969409] |
[a1,a2,a3,a4,a6] |
Generators |
[-14007:813632:343] |
Generators of the group modulo torsion |
j |
12771880859375/87675231152 |
j-invariant |
L |
4.9212263873232 |
L(r)(E,1)/r! |
Ω |
0.27638684879883 |
Real period |
R |
8.9027867740461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832ba2 3526b2 |
Quadratic twists by: -4 8 |