Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69384j |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
-6.3194892522219E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165690968,-905693265744] |
[a1,a2,a3,a4,a6] |
Generators |
[343018111105:121939086211866:2685619] |
Generators of the group modulo torsion |
j |
-2087863143735939727250/262279161865928529 |
j-invariant |
L |
8.1545228395658 |
L(r)(E,1)/r! |
Ω |
0.020893176076753 |
Real period |
R |
17.740726814999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912d2 |
Quadratic twists by: -7 |