Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ga |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-336262885539840 = -1 · 219 · 39 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8545,930335] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-864:1] |
Generators of the group modulo torsion |
j |
-263251475929/1282741110 |
j-invariant |
L |
9.3092795617991 |
L(r)(E,1)/r! |
Ω |
0.46931692528242 |
Real period |
R |
0.55099460773273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000146585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680bj1 31920s1 |
Quadratic twists by: -4 8 |