Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800i |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
61017300000000 = 28 · 39 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 3 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13500,472500] |
[a1,a2,a3,a4,a6] |
Generators |
[150:-1350:1] |
Generators of the group modulo torsion |
j |
138240/31 |
j-invariant |
L |
6.7790617546047 |
L(r)(E,1)/r! |
Ω |
0.5876759699571 |
Real period |
R |
0.48064055853831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600l1 55800bm1 55800bh1 |
Quadratic twists by: -4 -3 5 |