Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4600l |
Isogeny class |
Conductor |
4600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-5750000 = -1 · 24 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -2 -7 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,413] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:25:1] |
Generators of the group modulo torsion |
j |
-562432/23 |
j-invariant |
L |
4.5373761704428 |
L(r)(E,1)/r! |
Ω |
2.3811092534023 |
Real period |
R |
0.47639311005568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9200b1 36800x1 41400h1 184b1 |
Quadratic twists by: -4 8 -3 5 |