Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408w |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
5 |
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 |
3.7575047138485 |
L(r)(E,1)/r! |
Ω |
0.7515009427697 |
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 |
9408bq1 588a1 28224bc1 9408n1 |
Quadratic twists by: -4 8 -3 -7 |