Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360y |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-622182400 = -1 · 214 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,184,-784] |
[a1,a2,a3,a4,a6] |
j |
167284151/151900 |
j-invariant |
L |
3.5640593094834 |
L(r)(E,1)/r! |
Ω |
0.89101482737086 |
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 |
2170a1 69440dz1 86800bg1 121520cp1 |
Quadratic twists by: -4 8 5 -7 |