Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fp |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-671087050493032800 = -1 · 25 · 316 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-629465,196379417] |
[a1,a2,a3,a4,a6] |
j |
-854307420745/20785248 |
j-invariant |
L |
5.7331138877227 |
L(r)(E,1)/r! |
Ω |
0.28665569432611 |
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 |
18150bb1 54450de2 4950i1 |
Quadratic twists by: -3 5 -11 |