Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874be |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
33949051444224 = 210 · 34 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27490,-1734076] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:194:1] |
Generators of the group modulo torsion |
j |
398533284961/5889024 |
j-invariant |
L |
9.8705816680944 |
L(r)(E,1)/r! |
Ω |
0.37110301950301 |
Real period |
R |
0.22164963072593 |
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 |
62622k1 20874x1 |
Quadratic twists by: -3 -7 |