Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720w |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
467251200 = 212 · 33 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-348,2272] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:45:1] [-18:52:1] |
Generators of the group modulo torsion |
j |
42144192/4225 |
j-invariant |
L |
6.568046225368 |
L(r)(E,1)/r! |
Ω |
1.6161999961325 |
Real period |
R |
0.50798526180901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18720a2 37440y1 18720c2 93600e2 |
Quadratic twists by: -4 8 -3 5 |