Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976s |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
3773952 |
Modular degree for the optimal curve |
Δ |
-3.4306288465864E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -3 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10767423,-24678120033] |
[a1,a2,a3,a4,a6] |
Generators |
[1379055:149846016:125] |
Generators of the group modulo torsion |
j |
526646344431378309263/1308681048044740608 |
j-invariant |
L |
7.7495036246625 |
L(r)(E,1)/r! |
Ω |
0.049567518597756 |
Real period |
R |
1.8612187606236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38976bm1 1218d1 116928bb1 |
Quadratic twists by: -4 8 -3 |