Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048bo |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
72 |
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 |
[-79:858:1] [97:-726:1] |
Generators of the group modulo torsion |
j |
-331734634528768/245203529571 |
j-invariant |
L |
6.9258041803802 |
L(r)(E,1)/r! |
Ω |
0.57209644770986 |
Real period |
R |
0.16813900018531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12012g2 |
Quadratic twists by: -4 |