Atkin-Lehner |
2- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45248x |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
194683682816 = 214 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 0 5 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2288,-36384] |
[a1,a2,a3,a4,a6] |
Generators |
[1138:12691:8] |
Generators of the group modulo torsion |
j |
80848475136/11882549 |
j-invariant |
L |
5.0162297000386 |
L(r)(E,1)/r! |
Ω |
0.69707834742791 |
Real period |
R |
3.5980386699243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248n1 11312a1 |
Quadratic twists by: -4 8 |