Atkin-Lehner |
3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11781h |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8677759480174941849 = 316 · 78 · 112 · 172 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1217223,-496781600] |
[a1,a2,a3,a4,a6] |
j |
273594167224805799793/11903648120953281 |
j-invariant |
L |
1.1529575002992 |
L(r)(E,1)/r! |
Ω |
0.1441196875374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3927d2 82467bd2 129591p2 |
Quadratic twists by: -3 -7 -11 |