Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12012g |
Isogeny class |
Conductor |
12012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-62772103570176 = -1 · 28 · 32 · 7 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9157,-512041] |
[a1,a2,a3,a4,a6] |
Generators |
[266:3993:1] |
Generators of the group modulo torsion |
j |
-331734634528768/245203529571 |
j-invariant |
L |
4.6602550705626 |
L(r)(E,1)/r! |
Ω |
0.23639753198565 |
Real period |
R |
1.6428030612313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48048bo2 36036p2 84084g2 |
Quadratic twists by: -4 -3 -7 |