Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618bk |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7.2073856527642E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19874058,33848069079] |
[a1,a2,a3,a4,a6] |
Generators |
[-5013:89285:1] |
Generators of the group modulo torsion |
j |
7378959593078985444625/61261767229336128 |
j-invariant |
L |
7.9184093442476 |
L(r)(E,1)/r! |
Ω |
0.13313223291793 |
Real period |
R |
4.956481468865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374l3 |
Quadratic twists by: -7 |