Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17745x |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
174470525775 = 33 · 52 · 76 · 133 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 6 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1408,-3157] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:110:1] |
Generators of the group modulo torsion |
j |
140364780373/79413075 |
j-invariant |
L |
8.3712985627184 |
L(r)(E,1)/r! |
Ω |
0.8404868067764 |
Real period |
R |
0.55333663612994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235y2 88725m2 124215t2 17745p2 |
Quadratic twists by: -3 5 -7 13 |