Atkin-Lehner |
2- 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790bj |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
456000 |
Modular degree for the optimal curve |
Δ |
-82782978048000 = -1 · 225 · 33 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 3 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-186488,-30953733] |
[a1,a2,a3,a4,a6] |
Generators |
[557:5865:1] |
Generators of the group modulo torsion |
j |
-26565037836114522627/3066036224000 |
j-invariant |
L |
10.439541058978 |
L(r)(E,1)/r! |
Ω |
0.1148693096058 |
Real period |
R |
1.81763799144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790m1 |
Quadratic twists by: -3 |