Atkin-Lehner |
2- 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
16968b |
Isogeny class |
Conductor |
16968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
93283819776 = 28 · 36 · 72 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3652,-82460] |
[a1,a2,a3,a4,a6] |
Generators |
[312:5390:1] |
Generators of the group modulo torsion |
j |
21047230999888/364389921 |
j-invariant |
L |
4.9284731310003 |
L(r)(E,1)/r! |
Ω |
0.61477063584612 |
Real period |
R |
4.0083836504464 |
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 |
33936b2 50904e2 118776p2 |
Quadratic twists by: -4 -3 -7 |