Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562bg |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-20257031958806552 = -1 · 23 · 79 · 137 |
Discriminant |
Eigenvalues |
2- 1 2 7- -1 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37437,-7396663] |
[a1,a2,a3,a4,a6] |
Generators |
[4708:320409:1] |
Generators of the group modulo torsion |
j |
-29791/104 |
j-invariant |
L |
9.6526812479374 |
L(r)(E,1)/r! |
Ω |
0.15757669032689 |
Real period |
R |
5.1047531352898 |
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 |
16562bj1 1274b1 |
Quadratic twists by: -7 13 |