Atkin-Lehner |
2- 3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
128592o |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-4106640898916352 = -1 · 227 · 36 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -6 -5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-705459,228084338] |
[a1,a2,a3,a4,a6] |
Generators |
[494:376:1] |
Generators of the group modulo torsion |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
4.871002630998 |
L(r)(E,1)/r! |
Ω |
0.42111588945932 |
Real period |
R |
2.8917234155469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998319946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16074b1 14288d1 |
Quadratic twists by: -4 -3 |