Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360bn |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
6968442880 = 217 · 5 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 1 -1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1987,-33854] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:14:1] |
Generators of the group modulo torsion |
j |
211815318681/1701280 |
j-invariant |
L |
3.4567851697265 |
L(r)(E,1)/r! |
Ω |
0.71541897191359 |
Real period |
R |
0.80530554016488 |
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 |
2170d1 69440da1 86800bi1 121520bn1 |
Quadratic twists by: -4 8 5 -7 |