Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440bt |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12626297742240000 = 28 · 34 · 54 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149956,-21637244] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:686:1] |
Generators of the group modulo torsion |
j |
12381975627856/419225625 |
j-invariant |
L |
3.0177527832432 |
L(r)(E,1)/r! |
Ω |
0.2431140996821 |
Real period |
R |
1.5516134132976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967359 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920t2 |
Quadratic twists by: -7 |