Atkin-Lehner |
2- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44950o |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-29458432000000000 = -1 · 224 · 59 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24395,8120397] |
[a1,a2,a3,a4,a6] |
Generators |
[-4473:2059984:729] |
Generators of the group modulo torsion |
j |
102759703687719/1885339648000 |
j-invariant |
L |
10.773493945337 |
L(r)(E,1)/r! |
Ω |
0.2777926572191 |
Real period |
R |
6.4637501300273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8990c1 |
Quadratic twists by: 5 |