Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400dc |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-40910192640000000 = -1 · 226 · 33 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289008,60491988] |
[a1,a2,a3,a4,a6] |
Generators |
[228:2550:1] |
Generators of the group modulo torsion |
j |
-41713327443241/639221760 |
j-invariant |
L |
5.4482513236043 |
L(r)(E,1)/r! |
Ω |
0.36334293489688 |
Real period |
R |
1.2495659060016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2550s1 81600fp1 61200fu1 4080w1 |
Quadratic twists by: -4 8 -3 5 |