Atkin-Lehner |
3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94221p |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-548022930591771 = -1 · 36 · 197 · 292 |
Discriminant |
Eigenvalues |
-2 3- 1 -1 -1 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-377967,89446504] |
[a1,a2,a3,a4,a6] |
Generators |
[3154:-10473:8] [358:130:1] |
Generators of the group modulo torsion |
j |
-174115016704/15979 |
j-invariant |
L |
6.0715132275708 |
L(r)(E,1)/r! |
Ω |
0.49656554629682 |
Real period |
R |
1.5283765840424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10469c1 4959f1 |
Quadratic twists by: -3 -19 |