Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944k |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
175415296 = 213 · 72 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ -3 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1016,12116] |
[a1,a2,a3,a4,a6] |
Generators |
[20:14:1] |
Generators of the group modulo torsion |
j |
28344726649/42826 |
j-invariant |
L |
4.8653919512276 |
L(r)(E,1)/r! |
Ω |
1.8036793267326 |
Real period |
R |
0.67437042149289 |
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 |
6118e1 |
Quadratic twists by: -4 |