Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408bq |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-9559130112 = -1 · 214 · 35 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,523,813] |
[a1,a2,a3,a4,a6] |
j |
401408/243 |
j-invariant |
L |
2.3841539809116 |
L(r)(E,1)/r! |
Ω |
0.79471799363719 |
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 |
9408w1 2352s1 28224et1 9408cx1 |
Quadratic twists by: -4 8 -3 -7 |