Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488it |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
131955659562811392 = 219 · 34 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-396769,94462367] |
[a1,a2,a3,a4,a6] |
Generators |
[-607:10584:1] |
Generators of the group modulo torsion |
j |
223980311017/4278582 |
j-invariant |
L |
8.3731231334306 |
L(r)(E,1)/r! |
Ω |
0.32890537315789 |
Real period |
R |
3.1821930493395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488z3 25872bm3 14784bu3 |
Quadratic twists by: -4 8 -7 |