Atkin-Lehner |
2- 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370bb |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-248415206400 = -1 · 210 · 39 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1163,-28133] |
[a1,a2,a3,a4,a6] |
j |
-8831234763/12620800 |
j-invariant |
L |
3.8869501216109 |
L(r)(E,1)/r! |
Ω |
0.38869501216414 |
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 |
44370d1 |
Quadratic twists by: -3 |