Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280bw |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
24357057454080 = 213 · 33 · 5 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3893880,2956183380] |
[a1,a2,a3,a4,a6] |
Generators |
[1614:-29640:1] |
Generators of the group modulo torsion |
j |
1594085333838169257721/5946547230 |
j-invariant |
L |
8.9296575749865 |
L(r)(E,1)/r! |
Ω |
0.45011069424751 |
Real period |
R |
0.82661680865524 |
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 |
7410d3 |
Quadratic twists by: -4 |