Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6384y |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
46858764288 = 224 · 3 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1272,14448] |
[a1,a2,a3,a4,a6] |
j |
55611739513/11440128 |
j-invariant |
L |
2.1452507646063 |
L(r)(E,1)/r! |
Ω |
1.0726253823031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
798b1 25536df1 19152bz1 44688cx1 |
Quadratic twists by: -4 8 -3 -7 |