Atkin-Lehner |
2+ 3- 37+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55278a |
Isogeny class |
Conductor |
55278 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
330010986672 = 24 · 37 · 372 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1728,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:144:1] [-27:180:1] |
Generators of the group modulo torsion |
j |
783012621313/452689968 |
j-invariant |
L |
5.3161276907265 |
L(r)(E,1)/r! |
Ω |
0.81675283797783 |
Real period |
R |
0.81360716540139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18426f2 |
Quadratic twists by: -3 |