Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6216m |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17691759203328 = 210 · 34 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7992,188892] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1080:1] |
Generators of the group modulo torsion |
j |
55137176303332/17277108597 |
j-invariant |
L |
3.6462886159783 |
L(r)(E,1)/r! |
Ω |
0.63947772954659 |
Real period |
R |
2.8509895243449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12432t4 49728bl3 18648i4 43512bn3 |
Quadratic twists by: -4 8 -3 -7 |