Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550b |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-728000000 = -1 · 29 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,175,-875] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
2.0039403256985 |
L(r)(E,1)/r! |
Ω |
0.85883193484412 |
Real period |
R |
1.1666661685457 |
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 |
36400bq1 40950dr1 182b1 31850v1 |
Quadratic twists by: -4 -3 5 -7 |