Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19520s |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
4121629948880000000 = 210 · 57 · 616 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-406808,-20810632] |
[a1,a2,a3,a4,a6] |
Generators |
[-39809:1709525:343] |
Generators of the group modulo torsion |
j |
7270967611425540096/4025029246953125 |
j-invariant |
L |
4.2248856973866 |
L(r)(E,1)/r! |
Ω |
0.20248873401096 |
Real period |
R |
6.9549312920586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19520g1 4880b1 97600cc1 |
Quadratic twists by: -4 8 5 |