Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146g |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
1805988 = 22 · 3 · 19 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61,164] |
[a1,a2,a3,a4,a6] |
j |
24515367625/1805988 |
j-invariant |
L |
2.5886646353668 |
L(r)(E,1)/r! |
Ω |
2.5886646353668 |
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 |
81168bq1 30438q1 |
Quadratic twists by: -4 -3 |