Atkin-Lehner |
2- 3- 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550ck |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
3472000 |
Modular degree for the optimal curve |
Δ |
-2329608192000000000 = -1 · 225 · 3 · 59 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6342388,-6148874608] |
[a1,a2,a3,a4,a6] |
Generators |
[3688:141772:1] |
Generators of the group modulo torsion |
j |
-14446149258182876333/1192759394304 |
j-invariant |
L |
14.917359061758 |
L(r)(E,1)/r! |
Ω |
0.047566829555251 |
Real period |
R |
3.1360843665428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550p1 |
Quadratic twists by: 5 |