Atkin-Lehner |
2- 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28044c |
Isogeny class |
Conductor |
28044 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-62919929988999936 = -1 · 28 · 310 · 195 · 412 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -3 -4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93048,5128292] |
[a1,a2,a3,a4,a6] |
j |
477394428993536/337148115939 |
j-invariant |
L |
2.6594298390782 |
L(r)(E,1)/r! |
Ω |
0.22161915325655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112176bb1 9348a1 |
Quadratic twists by: -4 -3 |