Atkin-Lehner |
2- 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44950s |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
55738000 = 24 · 53 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- -2 4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2910,-59683] |
[a1,a2,a3,a4,a6] |
j |
21794792775237/445904 |
j-invariant |
L |
2.6001505349562 |
L(r)(E,1)/r! |
Ω |
0.65003763373765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44950g1 |
Quadratic twists by: 5 |