Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642bm |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
1020 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
2085488727443767296 = 217 · 35 · 77 · 433 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-538511,135262329] |
[a1,a2,a3,a4,a6] |
Generators |
[-710:12997:1] |
Generators of the group modulo torsion |
j |
146797702716641761/17726361698304 |
j-invariant |
L |
7.8317532722624 |
L(r)(E,1)/r! |
Ω |
0.2522922980298 |
Real period |
R |
0.030433705438378 |
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 |
101136bc1 37926w1 1806i1 |
Quadratic twists by: -4 -3 -7 |