Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247s |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
190969291383585417 = 36 · 179 · 472 |
Discriminant |
Eigenvalues |
1 3- -2 -2 0 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-192528,24851259] |
[a1,a2,a3,a4,a6] |
Generators |
[-22508:459117:64] |
Generators of the group modulo torsion |
j |
9129329/2209 |
j-invariant |
L |
4.3934853231873 |
L(r)(E,1)/r! |
Ω |
0.29936370402095 |
Real period |
R |
7.3380395263012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998577349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13583b2 122247r2 |
Quadratic twists by: -3 17 |