Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976j |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1925415794824445952 = 220 · 32 · 73 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-370753,-55492031] |
[a1,a2,a3,a4,a6] |
Generators |
[1521:-53824:1] |
Generators of the group modulo torsion |
j |
21500025903924625/7344878367708 |
j-invariant |
L |
4.329156772052 |
L(r)(E,1)/r! |
Ω |
0.19884429000313 |
Real period |
R |
0.60476644703939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bq4 1218k4 116928bw4 |
Quadratic twists by: -4 8 -3 |