Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800a |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7138368000000 = -1 · 212 · 38 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,128737] |
[a1,a2,a3,a4,a6] |
Generators |
[1034:11907:8] |
Generators of the group modulo torsion |
j |
-140608/111537 |
j-invariant |
L |
5.165876116148 |
L(r)(E,1)/r! |
Ω |
0.60244930467902 |
Real period |
R |
4.2873948695992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800s2 81600hv1 122400dm2 1632l4 |
Quadratic twists by: -4 8 -3 5 |