Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856l |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
4433871312 = 24 · 310 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 6 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1483,21260] |
[a1,a2,a3,a4,a6] |
Generators |
[56:342:1] |
Generators of the group modulo torsion |
j |
22559008000000/277116957 |
j-invariant |
L |
5.2393146879545 |
L(r)(E,1)/r! |
Ω |
1.3843118546744 |
Real period |
R |
0.75695583625366 |
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 |
5928j1 47424ci1 35568l1 |
Quadratic twists by: -4 8 -3 |