Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562bm |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-14764600553066 = -1 · 2 · 76 · 137 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3968,-156213] |
[a1,a2,a3,a4,a6] |
Generators |
[430:3499:8] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
4.0918281886042 |
L(r)(E,1)/r! |
Ω |
0.36473430154285 |
Real period |
R |
2.8046636766103 |
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 |
338c1 1274c1 |
Quadratic twists by: -7 13 |