Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762p |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-86959494 = -1 · 2 · 39 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,79,-377] |
[a1,a2,a3,a4,a6] |
Generators |
[286:1591:8] |
Generators of the group modulo torsion |
j |
1269/2 |
j-invariant |
L |
10.286860099521 |
L(r)(E,1)/r! |
Ω |
1.0104401384927 |
Real period |
R |
5.0902867511108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39762b1 39762q1 |
Quadratic twists by: -3 -47 |