Atkin-Lehner |
19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
66139a |
Isogeny class |
Conductor |
66139 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-289316280243619 = -1 · 193 · 596 |
Discriminant |
Eigenvalues |
0 -2 3 -1 -3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-32489,2387160] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:1740:1] |
Generators of the group modulo torsion |
j |
-89915392/6859 |
j-invariant |
L |
3.8849393234135 |
L(r)(E,1)/r! |
Ω |
0.53730166399491 |
Real period |
R |
1.2050770183244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19a1 |
Quadratic twists by: -59 |