Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400ci |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
1130578742476800 = 217 · 35 · 52 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26048,-27648] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:578:1] |
Generators of the group modulo torsion |
j |
19088138515945/11040808032 |
j-invariant |
L |
4.2226565127316 |
L(r)(E,1)/r! |
Ω |
0.41157986666075 |
Real period |
R |
1.0259628457998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2550be1 81600ja1 61200fa1 20400dr2 |
Quadratic twists by: -4 8 -3 5 |