Atkin-Lehner |
2+ 3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52440i |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-275247072000 = -1 · 28 · 39 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -4 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1215,19683] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:90:1] |
Generators of the group modulo torsion |
j |
774203423744/1075183875 |
j-invariant |
L |
8.0697623611023 |
L(r)(E,1)/r! |
Ω |
0.66075146360529 |
Real period |
R |
0.11308339970091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880h1 |
Quadratic twists by: -4 |