Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725cn |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
868870377189803625 = 3 · 53 · 75 · 1310 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-840018,292850427] |
[a1,a2,a3,a4,a6] |
j |
108647414150813/1440074181 |
j-invariant |
L |
2.8186168386165 |
L(r)(E,1)/r! |
Ω |
0.28186168390522 |
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 |
88725be1 6825l1 |
Quadratic twists by: 5 13 |