Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658bj |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
714 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-65385634135670784 = -1 · 217 · 37 · 133 · 473 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 0 13- -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-199391,-36427431] |
[a1,a2,a3,a4,a6] |
Generators |
[1678:65149:1] |
Generators of the group modulo torsion |
j |
-399034499928415597/29761326415872 |
j-invariant |
L |
10.024608680396 |
L(r)(E,1)/r! |
Ω |
0.11248262314215 |
Real period |
R |
0.12481988584192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47658m1 |
Quadratic twists by: 13 |