Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
816i |
Isogeny class |
Conductor |
816 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-770943744 = -1 · 28 · 311 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -3 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1621,24623] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:162:1] |
Generators of the group modulo torsion |
j |
-1841198792704/3011499 |
j-invariant |
L |
2.3777937996965 |
L(r)(E,1)/r! |
Ω |
1.5953891657784 |
Real period |
R |
0.067746189248507 |
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 |
204a1 3264q1 2448r1 20400ck1 |
Quadratic twists by: -4 8 -3 5 |