Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976d |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-1.0080416101533E+27 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-266945729,-2269621680447] |
[a1,a2,a3,a4,a6] |
Generators |
[331080566115461207529076432062045248373929:-21473504035872417801049239322573729000587264:15387235925159220702366104105533175737] |
Generators of the group modulo torsion |
j |
-8025141932308829504241073/3845373573888057802752 |
j-invariant |
L |
4.2187084231009 |
L(r)(E,1)/r! |
Ω |
0.018257004328923 |
Real period |
R |
57.768354915949 |
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 |
38976bw1 1218h1 116928bk1 |
Quadratic twists by: -4 8 -3 |