Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ck |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17836859031552 = 215 · 37 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21036,1156624] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:968:1] [-70:1512:1] |
Generators of the group modulo torsion |
j |
43095878216/746691 |
j-invariant |
L |
10.637423111484 |
L(r)(E,1)/r! |
Ω |
0.69160717887496 |
Real period |
R |
3.8451824377568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993777 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712bo4 53856j3 35904y4 |
Quadratic twists by: -4 8 -3 |