Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905d |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-5325075 = -1 · 33 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 3 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26336,-1636279] |
[a1,a2,a3,a4,a6] |
j |
-5889731858034688/15525 |
j-invariant |
L |
2.9981317529966 |
L(r)(E,1)/r! |
Ω |
0.18738323456229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50715bw1 84525cs1 16905ba1 |
Quadratic twists by: -3 5 -7 |