Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322bc |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-5950265291113472 = -1 · 210 · 72 · 179 |
Discriminant |
Eigenvalues |
2- 3 0 7- -3 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-268680,53799883] |
[a1,a2,a3,a4,a6] |
Generators |
[9327:34627:27] |
Generators of the group modulo torsion |
j |
-369140625/1024 |
j-invariant |
L |
13.814751913631 |
L(r)(E,1)/r! |
Ω |
0.42702802576013 |
Real period |
R |
1.6175462827106 |
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 |
28322p1 28322bd1 |
Quadratic twists by: -7 17 |