Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
450c |
Isogeny class |
Conductor |
450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22674816000 = -1 · 210 · 311 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252,-7344] |
[a1,a2,a3,a4,a6] |
Generators |
[39:183:1] |
Generators of the group modulo torsion |
j |
-19465109/248832 |
j-invariant |
L |
1.4111308700949 |
L(r)(E,1)/r! |
Ω |
0.5139571071383 |
Real period |
R |
0.6864049793727 |
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 |
3600bm3 14400cg3 150a3 450a3 |
Quadratic twists by: -4 8 -3 5 |