Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990m |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
128952810000 = 24 · 36 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4449,112516] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:342:1] |
Generators of the group modulo torsion |
j |
9735776569434889/128952810000 |
j-invariant |
L |
3.1218574453462 |
L(r)(E,1)/r! |
Ω |
1.0449163252742 |
Real period |
R |
0.49794376988782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31920v2 127680bu2 11970cg2 19950bq2 |
Quadratic twists by: -4 8 -3 5 |