Atkin-Lehner |
3- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725bq |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2520977116331953125 = 312 · 57 · 74 · 113 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16877938,26687170367] |
[a1,a2,a3,a4,a6] |
Generators |
[2387:44:1] |
Generators of the group modulo torsion |
j |
34029992181649134789721/161342535445245 |
j-invariant |
L |
3.9083441141121 |
L(r)(E,1)/r! |
Ω |
0.2272184209382 |
Real period |
R |
0.23890033646925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945o4 |
Quadratic twists by: 5 |