Atkin-Lehner |
2+ 3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290bh |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-3177941090625000 = -1 · 23 · 36 · 58 · 75 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,216,-2712312] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1599:1] |
Generators of the group modulo torsion |
j |
1524845951/4359315625000 |
j-invariant |
L |
4.9627006299792 |
L(r)(E,1)/r! |
Ω |
0.20589078476548 |
Real period |
R |
1.5064724228719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810c1 |
Quadratic twists by: -3 |