Atkin-Lehner |
7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38857b |
Isogeny class |
Conductor |
38857 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56064 |
Modular degree for the optimal curve |
Δ |
-8489904787 = -1 · 77 · 132 · 61 |
Discriminant |
Eigenvalues |
2 0 2 7- 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6419,-197997] |
[a1,a2,a3,a4,a6] |
Generators |
[84196:3048013:64] |
Generators of the group modulo torsion |
j |
-248620879872/72163 |
j-invariant |
L |
13.38599712022 |
L(r)(E,1)/r! |
Ω |
0.26668289018549 |
Real period |
R |
6.2743044327418 |
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 |
5551b1 |
Quadratic twists by: -7 |