Atkin-Lehner |
3- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109383j |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
527360 |
Modular degree for the optimal curve |
Δ |
-57813773527179 = -1 · 34 · 193 · 1014 |
Discriminant |
Eigenvalues |
0 3- 3 -1 -5 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-134469,-19027771] |
[a1,a2,a3,a4,a6] |
j |
-39204206178992128/8428892481 |
j-invariant |
L |
1.9944723429572 |
L(r)(E,1)/r! |
Ω |
0.12465455263779 |
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 |
109383a1 |
Quadratic twists by: -19 |