Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bm |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-15467214734244 = -1 · 22 · 34 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -4 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4632,-225158] |
[a1,a2,a3,a4,a6] |
Generators |
[95:393:1] |
Generators of the group modulo torsion |
j |
-552611137/777924 |
j-invariant |
L |
6.8530764076848 |
L(r)(E,1)/r! |
Ω |
0.27526995278557 |
Real period |
R |
1.5559899333315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098e1 49686dh1 |
Quadratic twists by: -7 13 |