Atkin-Lehner |
2- 3+ 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28842l |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
114579805824 = 27 · 34 · 113 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 11- -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1722,21447] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:225:1] [-47:59:1] |
Generators of the group modulo torsion |
j |
564727473247393/114579805824 |
j-invariant |
L |
8.3285612573091 |
L(r)(E,1)/r! |
Ω |
0.99622845596497 |
Real period |
R |
0.09952490132543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86526d1 |
Quadratic twists by: -3 |