Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dz |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3206852775000000000 = -1 · 29 · 39 · 511 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-879121730,-10032568231103] |
[a1,a2,a3,a4,a6] |
Generators |
[2474604864958:-713993518732075:26463592] |
Generators of the group modulo torsion |
j |
-244320235433784441003267/10427200000 |
j-invariant |
L |
9.8569735632067 |
L(r)(E,1)/r! |
Ω |
0.013863002619415 |
Real period |
R |
19.750758815895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850k1 11970k2 |
Quadratic twists by: -3 5 |