Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856o |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-24281088 = -1 · 215 · 3 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -5 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,240] |
[a1,a2,a3,a4,a6] |
Generators |
[4:16:1] |
Generators of the group modulo torsion |
j |
-15625/5928 |
j-invariant |
L |
2.9546411819027 |
L(r)(E,1)/r! |
Ω |
1.7285415827618 |
Real period |
R |
0.42733151625746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482c1 47424dj1 35568br1 |
Quadratic twists by: -4 8 -3 |