Atkin-Lehner |
7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2093i |
Isogeny class |
Conductor |
2093 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-14651 = -1 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 -1 1 7- -3 13- 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,0,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
-4096/14651 |
j-invariant |
L |
1.4247530626186 |
L(r)(E,1)/r! |
Ω |
1.7915287320404 |
Real period |
R |
0.39763611856672 |
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 |
33488s1 18837t1 52325f1 14651h1 |
Quadratic twists by: -4 -3 5 -7 |