Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280bw |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2142565682549760000 = 213 · 33 · 54 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325560,12234708] |
[a1,a2,a3,a4,a6] |
Generators |
[36:750:1] |
Generators of the group modulo torsion |
j |
931661646976029241/523087324841250 |
j-invariant |
L |
8.9296575749865 |
L(r)(E,1)/r! |
Ω |
0.22505534712376 |
Real period |
R |
3.3064672346209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410d4 |
Quadratic twists by: -4 |