Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096bf |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-3694210892955648 = -1 · 231 · 33 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -3 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-832304,-292553388] |
[a1,a2,a3,a4,a6] |
j |
-15567190192349720497/901906956288 |
j-invariant |
L |
2.8451162176635 |
L(r)(E,1)/r! |
Ω |
0.079031006046208 |
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 |
2262i1 72384bv1 54288by1 |
Quadratic twists by: -4 8 -3 |