Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274bn |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
8915885458704 = 24 · 34 · 72 · 174 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5184,-1296] |
[a1,a2,a3,a4,a6] |
Generators |
[90:468:1] |
Generators of the group modulo torsion |
j |
15407207327425537/8915885458704 |
j-invariant |
L |
7.8372950305896 |
L(r)(E,1)/r! |
Ω |
0.61753553626177 |
Real period |
R |
3.1728113486522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
87822f2 |
Quadratic twists by: -3 |