Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56056u |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
34489611892736 = 211 · 77 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12299,442470] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:980:1] |
Generators of the group modulo torsion |
j |
853915554/143143 |
j-invariant |
L |
6.5465251999991 |
L(r)(E,1)/r! |
Ω |
0.62416277284845 |
Real period |
R |
2.6221225795369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112g2 8008e2 |
Quadratic twists by: -4 -7 |