Atkin-Lehner |
2- 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890bd |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
64861762500 = 22 · 34 · 55 · 29 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1606,-21664] |
[a1,a2,a3,a4,a6] |
j |
458117873455969/64861762500 |
j-invariant |
L |
3.0450535053694 |
L(r)(E,1)/r! |
Ω |
0.76126337635663 |
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 |
122670y1 |
Quadratic twists by: -3 |