Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83952f |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2855394229248 = 210 · 314 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112179,-14461342] |
[a1,a2,a3,a4,a6] |
Generators |
[27229606898:-414243511830:53582633] |
Generators of the group modulo torsion |
j |
209137022149828/3825063 |
j-invariant |
L |
7.8896889430463 |
L(r)(E,1)/r! |
Ω |
0.26086879986542 |
Real period |
R |
15.121948186822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41976b4 27984a4 |
Quadratic twists by: -4 -3 |