Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fy |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
4537778703559200 = 25 · 318 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1462550,-680418043] |
[a1,a2,a3,a4,a6] |
j |
1296633753003985/17006112 |
j-invariant |
L |
4.1185419478454 |
L(r)(E,1)/r! |
Ω |
0.13728473163703 |
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 |
18150bd1 54450dp1 54450ck1 |
Quadratic twists by: -3 5 -11 |