Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808n |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-69237504 = -1 · 28 · 36 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229,-1319] |
[a1,a2,a3,a4,a6] |
j |
-5210570752/270459 |
j-invariant |
L |
2.4462597815885 |
L(r)(E,1)/r! |
Ω |
0.61156494539714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4452e1 71232dc1 53424bg1 124656dr1 |
Quadratic twists by: -4 8 -3 -7 |