Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3990y |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
378697617819360 = 25 · 32 · 5 · 712 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-148371,21965121] |
[a1,a2,a3,a4,a6] |
Generators |
[240:321:1] |
Generators of the group modulo torsion |
j |
361219316414914078129/378697617819360 |
j-invariant |
L |
5.7124503670589 |
L(r)(E,1)/r! |
Ω |
0.53304530267902 |
Real period |
R |
0.35722106784976 |
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 |
31920u4 127680bm4 11970ba3 19950a3 |
Quadratic twists by: -4 8 -3 5 |