Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790es |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
606209120367801300 = 22 · 318 · 52 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31288298,67370748981] |
[a1,a2,a3,a4,a6] |
Generators |
[26238:26371:8] |
Generators of the group modulo torsion |
j |
39496057701398850889/7068165300 |
j-invariant |
L |
9.7160057266713 |
L(r)(E,1)/r! |
Ω |
0.22801943597448 |
Real period |
R |
5.3263034836262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930x4 11970cg3 |
Quadratic twists by: -3 -7 |