Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
27900i |
Isogeny class |
Conductor |
27900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-2188828907727750000 = -1 · 24 · 324 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687225,230542625] |
[a1,a2,a3,a4,a6] |
j |
-196948657599232/12010035159 |
j-invariant |
L |
1.5381904522324 |
L(r)(E,1)/r! |
Ω |
0.25636507537214 |
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 |
111600do1 9300c1 1116f1 |
Quadratic twists by: -4 -3 5 |