Atkin-Lehner |
3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58305n |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-21648238365 = -1 · 3 · 5 · 137 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -1 3 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11158,452753] |
[a1,a2,a3,a4,a6] |
j |
-31824875809/4485 |
j-invariant |
L |
4.6650563308125 |
L(r)(E,1)/r! |
Ω |
1.1662640829783 |
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 |
4485d1 |
Quadratic twists by: 13 |