Atkin-Lehner |
7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2093f |
Isogeny class |
Conductor |
2093 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-369990050199923699 = -1 · 712 · 133 · 233 |
Discriminant |
Eigenvalues |
0 1 3 7- -3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-159549,-38239046] |
[a1,a2,a3,a4,a6] |
Generators |
[9346:902723:1] |
Generators of the group modulo torsion |
j |
-449167881463536812032/369990050199923699 |
j-invariant |
L |
3.4091455862573 |
L(r)(E,1)/r! |
Ω |
0.11540058649975 |
Real period |
R |
7.3854598353031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33488t2 18837r2 52325d2 14651e2 |
Quadratic twists by: -4 -3 5 -7 |