Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120ca |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-5748377518080000 = -1 · 228 · 36 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20735,3455137] |
[a1,a2,a3,a4,a6] |
Generators |
[379:8100:1] |
Generators of the group modulo torsion |
j |
3760754329151/21928320000 |
j-invariant |
L |
5.6110966167664 |
L(r)(E,1)/r! |
Ω |
0.30858600803945 |
Real period |
R |
2.2729062848688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120bm1 11280r1 |
Quadratic twists by: -4 8 |