Atkin-Lehner |
11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20449g |
Isogeny class |
Conductor |
20449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-94060852367339 = -1 · 117 · 136 |
Discriminant |
Eigenvalues |
-2 -1 -1 -2 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-159917996,778437705528] |
[a1,a2,a3,a4,a6] |
Generators |
[7302:84:1] [5262:287435:1] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
3.0132150866708 |
L(r)(E,1)/r! |
Ω |
0.24398474799608 |
Real period |
R |
1.5437517669757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1859a3 121d3 |
Quadratic twists by: -11 13 |