Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
55550o |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-438324218750 = -1 · 2 · 59 · 11 · 1012 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11+ 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-563,32031] |
[a1,a2,a3,a4,a6] |
Generators |
[590:4751:8] |
Generators of the group modulo torsion |
j |
-1263214441/28052750 |
j-invariant |
L |
6.3693274229818 |
L(r)(E,1)/r! |
Ω |
0.78970106082147 |
Real period |
R |
2.0163729476091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110d1 |
Quadratic twists by: 5 |