Atkin-Lehner |
2- 3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
48618d |
Isogeny class |
Conductor |
48618 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
195933028113273456 = 24 · 37 · 37 · 736 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158189,11567333] |
[a1,a2,a3,a4,a6] |
Generators |
[1167:37036:1] |
Generators of the group modulo torsion |
j |
600513053093262217/268769585889264 |
j-invariant |
L |
12.293556638821 |
L(r)(E,1)/r! |
Ω |
0.28572410712643 |
Real period |
R |
5.3782461525851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206c2 |
Quadratic twists by: -3 |