Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800u |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
10 |
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 |
5.3354782608497 |
L(r)(E,1)/r! |
Ω |
0.53354782609325 |
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 |
40800bi1 81600g1 122400dq1 1632g1 |
Quadratic twists by: -4 8 -3 5 |