Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856l |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1370084481792 = -1 · 28 · 35 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 6 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268,56252] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:228:1] |
Generators of the group modulo torsion |
j |
-8346562000/5351892507 |
j-invariant |
L |
5.2393146879545 |
L(r)(E,1)/r! |
Ω |
0.69215592733719 |
Real period |
R |
0.37847791812683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5928j2 47424ci2 35568l2 |
Quadratic twists by: -4 8 -3 |