Atkin-Lehner |
2- 3- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47988c |
Isogeny class |
Conductor |
47988 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-6017119344 = -1 · 24 · 38 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,-3719] |
[a1,a2,a3,a4,a6] |
Generators |
[53:387:1] |
Generators of the group modulo torsion |
j |
6243584/515871 |
j-invariant |
L |
5.4103952476634 |
L(r)(E,1)/r! |
Ω |
0.63957302757243 |
Real period |
R |
0.70494885056312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15996d1 |
Quadratic twists by: -3 |