Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787f |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
25950462122501301 = 3 · 79 · 118 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11- 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2000049,1089341483] |
[a1,a2,a3,a4,a6] |
Generators |
[6442:4377:8] |
Generators of the group modulo torsion |
j |
35084566528/1029 |
j-invariant |
L |
4.5198776540923 |
L(r)(E,1)/r! |
Ω |
0.35045005297042 |
Real period |
R |
6.4486759465176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361bb2 2541k2 17787g2 |
Quadratic twists by: -3 -7 -11 |