Atkin-Lehner |
3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513h |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
974018156067 = 316 · 113 · 17 |
Discriminant |
Eigenvalues |
1 3- 0 2 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9477,354294] |
[a1,a2,a3,a4,a6] |
j |
97018944875/1003833 |
j-invariant |
L |
1.7678921634216 |
L(r)(E,1)/r! |
Ω |
0.88394608171082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6171c2 18513j2 |
Quadratic twists by: -3 -11 |