Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990bi |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-2679957563850000 = -1 · 24 · 39 · 55 · 7 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32888,3395467] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:2057:1] |
Generators of the group modulo torsion |
j |
-199863013333563/136155950000 |
j-invariant |
L |
7.2147367760044 |
L(r)(E,1)/r! |
Ω |
0.41955210261448 |
Real period |
R |
0.71651180022711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990h1 |
Quadratic twists by: -3 |