Atkin-Lehner |
3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16359c |
Isogeny class |
Conductor |
16359 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
4695033 = 3 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45,43] |
[a1,a2,a3,a4,a6] |
Generators |
[327:803:27] |
Generators of the group modulo torsion |
j |
9759185353/4695033 |
j-invariant |
L |
8.4661789360869 |
L(r)(E,1)/r! |
Ω |
2.1736357339627 |
Real period |
R |
3.8949391582979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49077d1 114513f1 |
Quadratic twists by: -3 -7 |