Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bn |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-383218691459128118 = -1 · 2 · 118 · 197 |
Discriminant |
Eigenvalues |
2- -1 0 -1 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-350358,-85342487] |
[a1,a2,a3,a4,a6] |
j |
-471625/38 |
j-invariant |
L |
1.171987046861 |
L(r)(E,1)/r! |
Ω |
0.097665586473452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87362p1 4598i1 |
Quadratic twists by: -11 -19 |