Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376ca |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-5663275567681536 = -1 · 212 · 36 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35421,-2554526] |
[a1,a2,a3,a4,a6] |
Generators |
[255:-4802:1] |
Generators of the group modulo torsion |
j |
1645957774943/1896619529 |
j-invariant |
L |
3.7925778510632 |
L(r)(E,1)/r! |
Ω |
0.23004291299162 |
Real period |
R |
0.91591071753906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2961e1 5264j1 |
Quadratic twists by: -4 -3 |