Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112g |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
32 |
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 |
[-55:260:1] |
Generators of the group modulo torsion |
j |
853915554/143143 |
j-invariant |
L |
7.2206444967341 |
L(r)(E,1)/r! |
Ω |
0.45851690512113 |
Real period |
R |
1.9684782706017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999740441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56056u2 16016a2 |
Quadratic twists by: -4 -7 |