Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gt |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
975827865600 = 212 · 34 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5945,167943] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:588:1] |
Generators of the group modulo torsion |
j |
48228544/2025 |
j-invariant |
L |
8.413419004656 |
L(r)(E,1)/r! |
Ω |
0.8715542074713 |
Real period |
R |
1.206668921526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040fa2 23520bb1 960j2 |
Quadratic twists by: -4 8 -7 |