Atkin-Lehner |
5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825z |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1420800 |
Modular degree for the optimal curve |
Δ |
-1073197624748046875 = -1 · 59 · 76 · 115 · 29 |
Discriminant |
Eigenvalues |
0 3 5- 7- 11- -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,240500,-20577344] |
[a1,a2,a3,a4,a6] |
Generators |
[12450:-370576:27] |
Generators of the group modulo torsion |
j |
787660225118208/549477183871 |
j-invariant |
L |
9.2216964669193 |
L(r)(E,1)/r! |
Ω |
0.1559207908526 |
Real period |
R |
0.98572448404868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55825t1 |
Quadratic twists by: 5 |