Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152bd |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-23065952256 = -1 · 215 · 33 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -1 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-552,-9036] |
[a1,a2,a3,a4,a6] |
Generators |
[30:48:1] [126:1392:1] |
Generators of the group modulo torsion |
j |
-4549540393/5631336 |
j-invariant |
L |
8.3161577851664 |
L(r)(E,1)/r! |
Ω |
0.47034594096071 |
Real period |
R |
0.73670578228894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5394a1 129456cf1 |
Quadratic twists by: -4 -3 |