Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800ba |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
8678016000 = 210 · 37 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1515,-22250] |
[a1,a2,a3,a4,a6] |
Generators |
[1245:2080:27] |
Generators of the group modulo torsion |
j |
4121204/93 |
j-invariant |
L |
7.0182954850881 |
L(r)(E,1)/r! |
Ω |
0.76628972851874 |
Real period |
R |
4.5794007304867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600cf1 18600bd1 55800ce1 |
Quadratic twists by: -4 -3 5 |