Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300f |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6107319972000000 = -1 · 28 · 312 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76708,9025912] |
[a1,a2,a3,a4,a6] |
Generators |
[513333:12703600:729] |
Generators of the group modulo torsion |
j |
-12479332642000/1526829993 |
j-invariant |
L |
6.6888777690596 |
L(r)(E,1)/r! |
Ω |
0.41234818962522 |
Real period |
R |
8.1107155768226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652f2 |
Quadratic twists by: 5 |