Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952du |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-1858130950061175552 = -1 · 28 · 321 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129360,-67984756] |
[a1,a2,a3,a4,a6] |
j |
-534274048000/4146834123 |
j-invariant |
L |
1.7772699763865 |
L(r)(E,1)/r! |
Ω |
0.11107937161352 |
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 |
29988t1 39984bc1 119952ek1 |
Quadratic twists by: -4 -3 -7 |