Atkin-Lehner |
3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58305p |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1284151851573435 = -1 · 34 · 5 · 1310 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 6 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,10760,-1666154] |
[a1,a2,a3,a4,a6] |
j |
28540399616/266045715 |
j-invariant |
L |
1.912703513481 |
L(r)(E,1)/r! |
Ω |
0.2390879388299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4485f1 |
Quadratic twists by: 13 |