Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355q |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-80016041235 = -1 · 3 · 5 · 13 · 177 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1541,-27490] |
[a1,a2,a3,a4,a6] |
Generators |
[1470:6200:27] |
Generators of the group modulo torsion |
j |
-16777216/3315 |
j-invariant |
L |
4.5460175558764 |
L(r)(E,1)/r! |
Ω |
0.37695658566373 |
Real period |
R |
3.0149476947606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3315d1 |
Quadratic twists by: 17 |