Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416z |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
34051078543491072 = 214 · 38 · 73 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143024,-18783552] |
[a1,a2,a3,a4,a6] |
Generators |
[458:3402:1] |
Generators of the group modulo torsion |
j |
78993900837812017/8313251597532 |
j-invariant |
L |
3.4430015223951 |
L(r)(E,1)/r! |
Ω |
0.24716833741168 |
Real period |
R |
2.3216306468497 |
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 |
1302o3 41664dz4 31248bx4 72912cz4 |
Quadratic twists by: -4 8 -3 -7 |