Atkin-Lehner |
2- 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
129584k |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16792013056 = -1 · 28 · 72 · 132 · 892 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124,6216] |
[a1,a2,a3,a4,a6] |
Generators |
[31:182:1] |
Generators of the group modulo torsion |
j |
-830321872/65593801 |
j-invariant |
L |
3.1330330103542 |
L(r)(E,1)/r! |
Ω |
1.0173025821069 |
Real period |
R |
1.5398727977655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995652398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32396d2 |
Quadratic twists by: -4 |