Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1386i |
Isogeny class |
Conductor |
1386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-200058012 = -1 · 22 · 310 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,663] |
[a1,a2,a3,a4,a6] |
j |
9938375/274428 |
j-invariant |
L |
2.6854173627703 |
L(r)(E,1)/r! |
Ω |
1.3427086813851 |
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 |
11088bo1 44352o1 462a1 34650bi1 |
Quadratic twists by: -4 8 -3 5 |