Atkin-Lehner |
3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18963i |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3687943203 = -1 · 36 · 76 · 43 |
Discriminant |
Eigenvalues |
2 3- -4 7- -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,3001] |
[a1,a2,a3,a4,a6] |
Generators |
[98:437:8] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
7.2855381725386 |
L(r)(E,1)/r! |
Ω |
1.1933658915852 |
Real period |
R |
1.5262582548888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2107a1 387e1 |
Quadratic twists by: -3 -7 |