Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53820a |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1049490000 = 24 · 33 · 54 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-348,1953] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:66:1] [-8:65:1] |
Generators of the group modulo torsion |
j |
10788913152/2429375 |
j-invariant |
L |
8.9908729809067 |
L(r)(E,1)/r! |
Ω |
1.4658543071229 |
Real period |
R |
1.0222563203382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53820e1 |
Quadratic twists by: -3 |