Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39592f |
Isogeny class |
Conductor |
39592 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-248321024 = -1 · 210 · 74 · 101 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 0 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,764] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:22:1] [-2:28:1] |
Generators of the group modulo torsion |
j |
-196/101 |
j-invariant |
L |
7.2404256989978 |
L(r)(E,1)/r! |
Ω |
1.4210737986615 |
Real period |
R |
0.84917308139535 |
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 |
79184a1 39592m1 |
Quadratic twists by: -4 -7 |