Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990m |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7068165300 = 22 · 312 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70949,7267916] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1168:1] |
Generators of the group modulo torsion |
j |
39496057701398850889/7068165300 |
j-invariant |
L |
3.1218574453462 |
L(r)(E,1)/r! |
Ω |
1.0449163252742 |
Real period |
R |
0.24897188494391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920v4 127680bu4 11970cg3 19950bq3 |
Quadratic twists by: -4 8 -3 5 |