Atkin-Lehner |
2- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
39592l |
Isogeny class |
Conductor |
39592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1043382862592 = -1 · 28 · 79 · 101 |
Discriminant |
Eigenvalues |
2- 1 0 7- -2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1388,-53488] |
[a1,a2,a3,a4,a6] |
Generators |
[86:686:1] [128:1372:1] |
Generators of the group modulo torsion |
j |
-9826000/34643 |
j-invariant |
L |
9.9940672497179 |
L(r)(E,1)/r! |
Ω |
0.3589224469842 |
Real period |
R |
1.7402901611636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184k1 5656g1 |
Quadratic twists by: -4 -7 |