Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146q |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
1723494039552 = 222 · 35 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7878,260964] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:618:1] |
Generators of the group modulo torsion |
j |
54072330385398625/1723494039552 |
j-invariant |
L |
7.5226131396812 |
L(r)(E,1)/r! |
Ω |
0.83472443010718 |
Real period |
R |
0.32771242681918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168bp1 30438f1 |
Quadratic twists by: -4 -3 |