Atkin-Lehner |
2- 3+ 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890x |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
934009380 = 22 · 36 · 5 · 29 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6691,207869] |
[a1,a2,a3,a4,a6] |
j |
33128430296069809/934009380 |
j-invariant |
L |
2.9209948221827 |
L(r)(E,1)/r! |
Ω |
1.4604974111409 |
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 |
122670u1 |
Quadratic twists by: -3 |