Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856ba |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-491692032 = -1 · 213 · 35 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -1 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1216,16768] |
[a1,a2,a3,a4,a6] |
j |
-48587168449/120042 |
j-invariant |
L |
3.3223456638425 |
L(r)(E,1)/r! |
Ω |
1.6611728319212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482k1 47424db1 35568ck1 |
Quadratic twists by: -4 8 -3 |