Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20874bj |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
2320159559294556 = 22 · 38 · 72 · 715 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74096,-7415388] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:514:1] |
Generators of the group modulo torsion |
j |
918147147678701521/47350195087644 |
j-invariant |
L |
8.8393772573825 |
L(r)(E,1)/r! |
Ω |
0.29029584588695 |
Real period |
R |
0.38061934844328 |
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 |
62622o1 20874u1 |
Quadratic twists by: -3 -7 |