Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416t |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-107744407400448 = -1 · 212 · 33 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124836,16984224] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:4732:1] [40:3472:1] |
Generators of the group modulo torsion |
j |
-1945447581589056/974251369 |
j-invariant |
L |
8.8678574096635 |
L(r)(E,1)/r! |
Ω |
0.58642583167264 |
Real period |
R |
0.94511711143941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416j2 26208e1 52416s2 |
Quadratic twists by: -4 8 -3 |