Atkin-Lehner |
2+ 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17304a |
Isogeny class |
Conductor |
17304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38976 |
Modular degree for the optimal curve |
Δ |
-43674853329072 = -1 · 24 · 37 · 76 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11047,552172] |
[a1,a2,a3,a4,a6] |
Generators |
[803:22557:1] |
Generators of the group modulo torsion |
j |
-9319145753417728/2729678333067 |
j-invariant |
L |
4.9277859940019 |
L(r)(E,1)/r! |
Ω |
0.60756387629427 |
Real period |
R |
4.0553645355432 |
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 |
34608f1 51912o1 121128p1 |
Quadratic twists by: -4 -3 -7 |