Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1386k |
Isogeny class |
Conductor |
1386 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-39517632 = -1 · 26 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-263,-1601] |
[a1,a2,a3,a4,a6] |
j |
-2749884201/54208 |
j-invariant |
L |
3.5534775763065 |
L(r)(E,1)/r! |
Ω |
0.59224626271775 |
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 |
11088bu1 44352bd1 154a1 34650bk1 |
Quadratic twists by: -4 8 -3 5 |