Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55470p |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1059520 |
Modular degree for the optimal curve |
Δ |
-2894933444756215680 = -1 · 27 · 32 · 5 · 439 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-707281,-243437137] |
[a1,a2,a3,a4,a6] |
j |
-77854483/5760 |
j-invariant |
L |
2.2950182838179 |
L(r)(E,1)/r! |
Ω |
0.081964938699193 |
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 |
55470j1 |
Quadratic twists by: -43 |