Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416cl |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-234770006016 = -1 · 217 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 5 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-23312] |
[a1,a2,a3,a4,a6] |
Generators |
[29:27:1] |
Generators of the group modulo torsion |
j |
-2/2457 |
j-invariant |
L |
7.2119822412864 |
L(r)(E,1)/r! |
Ω |
0.45371175840695 |
Real period |
R |
1.9869394245559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416eo1 6552k1 17472bg1 |
Quadratic twists by: -4 8 -3 |