Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3990l |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
6633105589454400 = 26 · 314 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112059,13887046] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:5376:1] |
Generators of the group modulo torsion |
j |
155617476551393929129/6633105589454400 |
j-invariant |
L |
3.0071106514458 |
L(r)(E,1)/r! |
Ω |
0.41765898178666 |
Real period |
R |
0.51427989658351 |
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 |
31920z2 127680x2 11970cd2 19950ce2 |
Quadratic twists by: -4 8 -3 5 |