Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416u |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2144814723072 = 212 · 34 · 7 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48704,4152768] |
[a1,a2,a3,a4,a6] |
Generators |
[154:530:1] |
Generators of the group modulo torsion |
j |
3119367718264897/523636407 |
j-invariant |
L |
2.9131218613568 |
L(r)(E,1)/r! |
Ω |
0.79791389173569 |
Real period |
R |
3.65092260146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
651d3 41664dn4 31248bp4 72912cj4 |
Quadratic twists by: -4 8 -3 -7 |