Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990p |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8113766016106800 = -1 · 24 · 33 · 52 · 78 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,39542,-3098644] |
[a1,a2,a3,a4,a6] |
Generators |
[160:2627:1] |
Generators of the group modulo torsion |
j |
6837784281928633319/8113766016106800 |
j-invariant |
L |
3.2964115429578 |
L(r)(E,1)/r! |
Ω |
0.22280009533857 |
Real period |
R |
1.2329481344957 |
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 |
31920bf3 127680e3 11970bp4 19950by4 |
Quadratic twists by: -4 8 -3 5 |