Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
9888f |
Isogeny class |
Conductor |
9888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-2036928 = -1 · 26 · 3 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30,84] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
-48228544/31827 |
j-invariant |
L |
3.458947764961 |
L(r)(E,1)/r! |
Ω |
2.4164327417754 |
Real period |
R |
1.4314272874898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9888h1 19776k2 29664j1 |
Quadratic twists by: -4 8 -3 |