Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552bb |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-551598857605184256 = -1 · 28 · 37 · 74 · 177 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27490065,55467695331] |
[a1,a2,a3,a4,a6] |
Generators |
[2085:84966:1] |
Generators of the group modulo torsion |
j |
-371806976516936704/89266779 |
j-invariant |
L |
8.0737026842591 |
L(r)(E,1)/r! |
Ω |
0.23243401928365 |
Real period |
R |
0.31013803973901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104d1 2856e1 |
Quadratic twists by: -4 17 |