Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gp |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2194232798931812352 = 215 · 314 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35837571,-82576372606] |
[a1,a2,a3,a4,a6] |
Generators |
[-1517885908:37012885:438976] |
Generators of the group modulo torsion |
j |
14489843500598257/6246072 |
j-invariant |
L |
5.9025243725655 |
L(r)(E,1)/r! |
Ω |
0.061704228173947 |
Real period |
R |
11.957293320754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998802418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14994bg4 39984bs4 17136bl4 |
Quadratic twists by: -4 -3 -7 |