Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21528j |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
34962238009296 = 24 · 39 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8454,-92635] |
[a1,a2,a3,a4,a6] |
j |
5728790382592/2997448389 |
j-invariant |
L |
2.1103308648571 |
L(r)(E,1)/r! |
Ω |
0.52758271621428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056c1 7176a1 |
Quadratic twists by: -4 -3 |