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 |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-1093500 = -1 · 22 · 37 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
-24389/12 |
j-invariant |
L |
1.4111308700949 |
L(r)(E,1)/r! |
Ω |
2.5697855356915 |
Real period |
R |
0.13728099587454 |
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 |
3600bm1 14400cg1 150a1 450a1 |
Quadratic twists by: -4 8 -3 5 |