Atkin-Lehner |
2- 3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470be |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
327936 |
Modular degree for the optimal curve |
Δ |
500313875074252800 = 228 · 3 · 52 · 112 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-260830,-38371900] |
[a1,a2,a3,a4,a6] |
j |
1962440239008750340321/500313875074252800 |
j-invariant |
L |
6.0263517783705 |
L(r)(E,1)/r! |
Ω |
0.21522684922752 |
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 |
58410i1 97350b1 |
Quadratic twists by: -3 5 |