Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41952p |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-15949673819910144 = -1 · 212 · 318 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- -1 3 1 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-422941,105902123] |
[a1,a2,a3,a4,a6] |
Generators |
[401:-972:1] |
Generators of the group modulo torsion |
j |
-2042697956312180224/3893963334939 |
j-invariant |
L |
8.1205295529211 |
L(r)(E,1)/r! |
Ω |
0.39241374845614 |
Real period |
R |
0.28741381545155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952a1 83904e1 125856m1 |
Quadratic twists by: -4 8 -3 |