Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41952i |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-636820614918144 = -1 · 212 · 34 · 193 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 1 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68269,6949499] |
[a1,a2,a3,a4,a6] |
Generators |
[185:828:1] |
Generators of the group modulo torsion |
j |
-8590941264282112/155473782939 |
j-invariant |
L |
8.5951610558371 |
L(r)(E,1)/r! |
Ω |
0.51337945828745 |
Real period |
R |
0.52319737118204 |
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 |
41952c1 83904bk1 125856z1 |
Quadratic twists by: -4 8 -3 |