Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41952a |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
8 |
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 |
[947:18492:1] |
Generators of the group modulo torsion |
j |
-2042697956312180224/3893963334939 |
j-invariant |
L |
3.4290290769499 |
L(r)(E,1)/r! |
Ω |
0.093594410445037 |
Real period |
R |
4.5796392389304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952p1 83904m1 125856bb1 |
Quadratic twists by: -4 8 -3 |