Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3990i |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-171032148000 = -1 · 25 · 38 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -5 3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1188,-11664] |
[a1,a2,a3,a4,a6] |
Generators |
[27:189:1] |
Generators of the group modulo torsion |
j |
185183253170999/171032148000 |
j-invariant |
L |
2.2629286907201 |
L(r)(E,1)/r! |
Ω |
0.55714514140624 |
Real period |
R |
0.67694170469609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31920by1 127680cb1 11970bu1 19950da1 |
Quadratic twists by: -4 8 -3 5 |