Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17157k |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-787969539 = -1 · 39 · 72 · 19 · 43 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-28299,1822934] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:1228:1] |
Generators of the group modulo torsion |
j |
-2506411220823212032/787969539 |
j-invariant |
L |
6.2674505807632 |
L(r)(E,1)/r! |
Ω |
1.2818321472183 |
Real period |
R |
2.4447235912923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
51471n1 120099d1 |
Quadratic twists by: -3 -7 |