Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416gc |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-995044585219776 = -1 · 26 · 320 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8454,1546886] |
[a1,a2,a3,a4,a6] |
j |
-1432197595648/21327258771 |
j-invariant |
L |
2.5071791415608 |
L(r)(E,1)/r! |
Ω |
0.41786319041853 |
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 |
52416ew1 26208y1 17472ch1 |
Quadratic twists by: -4 8 -3 |