Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513r |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3559534975882017 = 37 · 117 · 174 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-198221,-33797068] |
[a1,a2,a3,a4,a6] |
j |
666940371553/2756193 |
j-invariant |
L |
0.90527446415521 |
L(r)(E,1)/r! |
Ω |
0.2263186160388 |
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 |
6171d3 1683e3 |
Quadratic twists by: -3 -11 |