Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450go |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-465743520000 = -1 · 28 · 37 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ -6 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1805,44597] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-200:1] [-41:240:1] |
Generators of the group modulo torsion |
j |
-1071875/768 |
j-invariant |
L |
12.508005089509 |
L(r)(E,1)/r! |
Ω |
0.86176337166886 |
Real period |
R |
0.075595995354357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bm1 54450bm1 54450cu1 |
Quadratic twists by: -3 5 -11 |