Atkin-Lehner |
2- 3- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128592i |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
332800 |
Modular degree for the optimal curve |
Δ |
12311155298304 = 212 · 311 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180912,29617072] |
[a1,a2,a3,a4,a6] |
j |
219299862974464/4122981 |
j-invariant |
L |
2.621642605001 |
L(r)(E,1)/r! |
Ω |
0.65541090073748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8037c1 42864f1 |
Quadratic twists by: -4 -3 |