Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280z |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45737141219328000 = 215 · 3 · 53 · 134 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-276336,-54864960] |
[a1,a2,a3,a4,a6] |
Generators |
[13882:547729:8] |
Generators of the group modulo torsion |
j |
569741344708447729/11166294243000 |
j-invariant |
L |
5.3710106749289 |
L(r)(E,1)/r! |
Ω |
0.20847655163708 |
Real period |
R |
6.4407851060266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410s3 |
Quadratic twists by: -4 |