Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410x |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2838138698474539200 = 26 · 37 · 52 · 134 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-399263,-53373369] |
[a1,a2,a3,a4,a6] |
Generators |
[-385:6762:1] |
Generators of the group modulo torsion |
j |
9655446483223468201/3893194373764800 |
j-invariant |
L |
8.4787746624986 |
L(r)(E,1)/r! |
Ω |
0.19669617239382 |
Real period |
R |
0.44902027459828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470f3 |
Quadratic twists by: -3 |