Atkin-Lehner |
2- 3- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
49776m |
Isogeny class |
Conductor |
49776 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-6995718144 = -1 · 212 · 33 · 17 · 612 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -3 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101,-4077] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1281:1] |
Generators of the group modulo torsion |
j |
-28094464/1707939 |
j-invariant |
L |
7.2562062612905 |
L(r)(E,1)/r! |
Ω |
0.58392564966928 |
Real period |
R |
2.0710987963978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3111a1 |
Quadratic twists by: -4 |