Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600bk |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2913084000000000 = 211 · 39 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1198800075,-15976007500250] |
[a1,a2,a3,a4,a6] |
Generators |
[112751800500025506123566477200590:-71735623661517998866866135966298600:276475048571684988875886219] |
Generators of the group modulo torsion |
j |
8167450100737631904002/124875 |
j-invariant |
L |
5.331244668154 |
L(r)(E,1)/r! |
Ω |
0.025657412962066 |
Real period |
R |
51.946436260429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22200g4 13320d3 |
Quadratic twists by: -3 5 |