Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232du |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1271144574948999168 = 228 · 35 · 117 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348641,57639327] |
[a1,a2,a3,a4,a6] |
j |
10091699281/2737152 |
j-invariant |
L |
5.0810626461708 |
L(r)(E,1)/r! |
Ω |
0.25405313230854 |
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 |
23232ba1 5808v1 69696hc1 2112bd1 |
Quadratic twists by: -4 8 -3 -11 |