Atkin-Lehner |
3- 37+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
27639i |
Isogeny class |
Conductor |
27639 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
135325130222187 = 315 · 372 · 832 |
Discriminant |
Eigenvalues |
1 3- -2 -4 4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-944208,353377921] |
[a1,a2,a3,a4,a6] |
Generators |
[-1120:2801:1] |
Generators of the group modulo torsion |
j |
127702520700270642433/185631180003 |
j-invariant |
L |
4.0866948704561 |
L(r)(E,1)/r! |
Ω |
0.49602122628781 |
Real period |
R |
4.119475794454 |
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 |
9213b2 |
Quadratic twists by: -3 |