Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17808h |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-854784 = -1 · 28 · 32 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 -4 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,157] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-51868672/3339 |
j-invariant |
L |
5.1647969706363 |
L(r)(E,1)/r! |
Ω |
2.769822480167 |
Real period |
R |
0.93233357148668 |
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 |
8904k1 71232dg1 53424o1 124656bp1 |
Quadratic twists by: -4 8 -3 -7 |