Atkin-Lehner |
2- 3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17220d |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
344400 = 24 · 3 · 52 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285,1950] |
[a1,a2,a3,a4,a6] |
Generators |
[5:25:1] |
Generators of the group modulo torsion |
j |
160568836096/21525 |
j-invariant |
L |
4.145502238104 |
L(r)(E,1)/r! |
Ω |
2.925678055793 |
Real period |
R |
0.94462483774106 |
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 |
68880cs1 51660d1 86100z1 120540bc1 |
Quadratic twists by: -4 -3 5 -7 |