Atkin-Lehner |
2+ 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450bg |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
6566145646500000000 = 28 · 36 · 59 · 112 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-585701,120644048] |
[a1,a2,a3,a4,a6] |
j |
11376809963921429/3361866571008 |
j-invariant |
L |
2.6453741495358 |
L(r)(E,1)/r! |
Ω |
0.22044784606661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450by1 |
Quadratic twists by: 5 |