Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368bg |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
60929005312 = 28 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 0 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-283951,58238906] |
[a1,a2,a3,a4,a6] |
Generators |
[8310:98:27] |
Generators of the group modulo torsion |
j |
34222845097047888/823543 |
j-invariant |
L |
9.3954162911879 |
L(r)(E,1)/r! |
Ω |
0.80480933686268 |
Real period |
R |
1.6677270824724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092d1 129472dn1 32368u1 |
Quadratic twists by: -4 8 17 |