Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976j |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-36104671101714432 = -1 · 222 · 3 · 76 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,68287,-6056127] |
[a1,a2,a3,a4,a6] |
Generators |
[337:7424:1] |
Generators of the group modulo torsion |
j |
134335727363375/137728390128 |
j-invariant |
L |
4.329156772052 |
L(r)(E,1)/r! |
Ω |
0.19884429000313 |
Real period |
R |
1.2095328940788 |
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 |
38976bq3 1218k3 116928bw3 |
Quadratic twists by: -4 8 -3 |