Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
450b |
Isogeny class |
Conductor |
450 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-9112500000 = -1 · 25 · 36 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680,-8053] |
[a1,a2,a3,a4,a6] |
j |
-121945/32 |
j-invariant |
L |
2.3058985678184 |
L(r)(E,1)/r! |
Ω |
0.46117971356367 |
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 |
3600bo3 14400cc3 50a3 450d1 |
Quadratic twists by: -4 8 -3 5 |