Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490a |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
74077200000000 = 210 · 33 · 58 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-464475,-121723739] |
[a1,a2,a3,a4,a6] |
Generators |
[2006:82757:1] |
Generators of the group modulo torsion |
j |
59839327109608353/400000000 |
j-invariant |
L |
4.0238266968995 |
L(r)(E,1)/r! |
Ω |
0.18287700439796 |
Real period |
R |
5.5007280851768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32490be1 32490bb1 |
Quadratic twists by: -3 -19 |