Atkin-Lehner |
2+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832m |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4593118117888 = -1 · 215 · 41 · 434 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716,103376] |
[a1,a2,a3,a4,a6] |
Generators |
[34:2535:8] |
Generators of the group modulo torsion |
j |
-1238833224/140170841 |
j-invariant |
L |
3.6134520440214 |
L(r)(E,1)/r! |
Ω |
0.63474701119041 |
Real period |
R |
5.69274375879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998828172 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112832j3 56416p2 |
Quadratic twists by: -4 8 |