Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400k |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-4129587200 = -1 · 215 · 52 · 712 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 -1 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-928,-11008] |
[a1,a2,a3,a4,a6] |
j |
-864043465/40328 |
j-invariant |
L |
1.7251297918059 |
L(r)(E,1)/r! |
Ω |
0.43128244795127 |
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 |
3550n1 113600ca1 28400y1 |
Quadratic twists by: -4 8 5 |