Atkin-Lehner |
3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513a |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1050152657562990531 = -1 · 39 · 1112 · 17 |
Discriminant |
Eigenvalues |
1 3+ -2 2 11- 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,205617,-33860260] |
[a1,a2,a3,a4,a6] |
j |
27570978261/30116537 |
j-invariant |
L |
1.1954910703216 |
L(r)(E,1)/r! |
Ω |
0.1494363837902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18513d2 1683d2 |
Quadratic twists by: -3 -11 |