Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675y |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
5080078125 = 32 · 59 · 172 |
Discriminant |
Eigenvalues |
2 3- 5- 2 -3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-708,-6631] |
[a1,a2,a3,a4,a6] |
Generators |
[-988:1843:64] |
Generators of the group modulo torsion |
j |
69632/9 |
j-invariant |
L |
12.495899969327 |
L(r)(E,1)/r! |
Ω |
0.93330470914706 |
Real period |
R |
3.3472187182969 |
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 |
65025cj1 21675l1 21675n1 |
Quadratic twists by: -3 5 17 |