Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552bq |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
40470737190912 = 217 · 312 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100129,12158015] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:3888:1] |
Generators of the group modulo torsion |
j |
847027985875346/308767221 |
j-invariant |
L |
8.396002115735 |
L(r)(E,1)/r! |
Ω |
0.63323593456271 |
Real period |
R |
1.1049070459221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999592452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cg4 13944d3 |
Quadratic twists by: -4 8 |