Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ed |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
33673831488000000 = 212 · 33 · 56 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-195680,-32077053] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:545:1] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
10.353983556654 |
L(r)(E,1)/r! |
Ω |
0.22756234045765 |
Real period |
R |
1.8958144860934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54450k3 2178a1 4950b1 |
Quadratic twists by: -3 5 -11 |