Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600l |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
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] |
j |
138240/31 |
j-invariant |
L |
2.7000991079518 |
L(r)(E,1)/r! |
Ω |
0.45001661536099 |
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 |
55800i1 111600k1 111600b1 |
Quadratic twists by: -4 -3 5 |