Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bh |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1363848192 = -1 · 210 · 38 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,163,1533] |
[a1,a2,a3,a4,a6] |
Generators |
[7652:83835:64] |
Generators of the group modulo torsion |
j |
464857088/1331883 |
j-invariant |
L |
5.8053404421737 |
L(r)(E,1)/r! |
Ω |
1.0700963624658 |
Real period |
R |
5.4250632427127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976n1 9744g1 116928eu1 |
Quadratic twists by: -4 8 -3 |