Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48144n |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
678528 |
Modular degree for the optimal curve |
Δ |
-9549809675476992 = -1 · 213 · 319 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 6 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-733632,241662132] |
[a1,a2,a3,a4,a6] |
Generators |
[804:13122:1] |
Generators of the group modulo torsion |
j |
-10661029751141134273/2331496502802 |
j-invariant |
L |
8.487453589136 |
L(r)(E,1)/r! |
Ω |
0.39815265581783 |
Real period |
R |
0.56097589342939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018f1 |
Quadratic twists by: -4 |