Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
450f |
Isogeny class |
Conductor |
450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9610839843750 = 2 · 39 · 512 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5442,-39034] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:358:1] |
Generators of the group modulo torsion |
j |
57960603/31250 |
j-invariant |
L |
1.4100767515259 |
L(r)(E,1)/r! |
Ω |
0.59197578047717 |
Real period |
R |
1.1909919273971 |
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 |
3600z4 14400j4 450e2 90b4 |
Quadratic twists by: -4 8 -3 5 |