Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472cj |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-348237646848 = -1 · 210 · 35 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1253,-32715] |
[a1,a2,a3,a4,a6] |
j |
-212629504000/340075827 |
j-invariant |
L |
1.5200890591408 |
L(r)(E,1)/r! |
Ω |
0.3800222647852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472x1 4368x1 52416gh1 122304gw1 |
Quadratic twists by: -4 8 -3 -7 |