Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cq |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-417388045295616000 = -1 · 216 · 3 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101200,33496000] |
[a1,a2,a3,a4,a6] |
j |
-594823321/2166000 |
j-invariant |
L |
3.1352175730656 |
L(r)(E,1)/r! |
Ω |
0.26126813473981 |
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 |
10830be1 4560bb1 |
Quadratic twists by: -4 -19 |