Atkin-Lehner |
3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
4425k |
Isogeny class |
Conductor |
4425 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
10080703125 = 37 · 57 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 3 -3 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3158,67094] |
[a1,a2,a3,a4,a6] |
Generators |
[28:37:1] |
Generators of the group modulo torsion |
j |
222985990144/645165 |
j-invariant |
L |
2.182783130441 |
L(r)(E,1)/r! |
Ω |
1.2926278280164 |
Real period |
R |
0.06030857349909 |
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 |
70800x1 13275p1 885a1 |
Quadratic twists by: -4 -3 5 |