Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bd |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-169884000000 = -1 · 28 · 33 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1167,25074] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-110:1] |
Generators of the group modulo torsion |
j |
-25429191408/24578125 |
j-invariant |
L |
6.2595334461238 |
L(r)(E,1)/r! |
Ω |
0.92802011085997 |
Real period |
R |
0.2810433637556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960k2 51480b2 |
Quadratic twists by: -4 -3 |