Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1764d |
Isogeny class |
Conductor |
1764 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-108884466432 = -1 · 28 · 311 · 74 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -3 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1176,3332] |
[a1,a2,a3,a4,a6] |
Generators |
[16:162:1] |
Generators of the group modulo torsion |
j |
401408/243 |
j-invariant |
L |
3.1232240076776 |
L(r)(E,1)/r! |
Ω |
0.64888452460651 |
Real period |
R |
0.40110167130939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7056bl1 28224bc1 588a1 44100bc1 |
Quadratic twists by: -4 8 -3 5 |