Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1320l |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-222750000 = -1 · 24 · 34 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-371,-2970] |
[a1,a2,a3,a4,a6] |
j |
-353912203264/13921875 |
j-invariant |
L |
2.1701419506918 |
L(r)(E,1)/r! |
Ω |
0.54253548767295 |
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 |
2640b1 10560h1 3960g1 6600f1 |
Quadratic twists by: -4 8 -3 5 |