Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109554v |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3013200 |
Modular degree for the optimal curve |
Δ |
-448033896660206592 = -1 · 210 · 33 · 19 · 318 |
Discriminant |
Eigenvalues |
2- 3- 2 0 5 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4547472,3732288768] |
[a1,a2,a3,a4,a6] |
j |
-12193833718273/525312 |
j-invariant |
L |
8.3719988804189 |
L(r)(E,1)/r! |
Ω |
0.2790666529564 |
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 |
109554r1 |
Quadratic twists by: -31 |