Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440bf |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1822080 |
Modular degree for the optimal curve |
Δ |
-10074274404350000 = -1 · 24 · 55 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 1 2 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6062255,5743105850] |
[a1,a2,a3,a4,a6] |
Generators |
[1070:21970:1] |
Generators of the group modulo torsion |
j |
-145216589043712/59375 |
j-invariant |
L |
9.3263291236139 |
L(r)(E,1)/r! |
Ω |
0.33103124122461 |
Real period |
R |
1.4086780831386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128440e1 |
Quadratic twists by: 13 |