Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472s |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-122457194496 = -1 · 215 · 35 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -5 13- 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1183,-6591] |
[a1,a2,a3,a4,a6] |
Generators |
[13:104:1] |
Generators of the group modulo torsion |
j |
5582912824/3737097 |
j-invariant |
L |
3.0462100399675 |
L(r)(E,1)/r! |
Ω |
0.59461531998495 |
Real period |
R |
0.42691607184017 |
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 |
17472be1 8736x1 52416dh1 122304dr1 |
Quadratic twists by: -4 8 -3 -7 |