Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bi |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-76406976000000 = -1 · 212 · 35 · 56 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -5 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5533,-447563] |
[a1,a2,a3,a4,a6] |
j |
-292754944/1193859 |
j-invariant |
L |
0.50466097480457 |
L(r)(E,1)/r! |
Ω |
0.25233048737912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800u1 81600cx1 122400bl1 1632d1 |
Quadratic twists by: -4 8 -3 5 |