Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gx |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
2278381961550420000 = 25 · 312 · 54 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-368105,-45901303] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:6496:1] |
Generators of the group modulo torsion |
j |
56479225/23328 |
j-invariant |
L |
9.0963717500315 |
L(r)(E,1)/r! |
Ω |
0.20101008686358 |
Real period |
R |
4.5253309881061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bo1 54450bs1 54450cw1 |
Quadratic twists by: -3 5 -11 |