Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fv |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-21038848782336000 = -1 · 215 · 34 · 53 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29855,6680257] |
[a1,a2,a3,a4,a6] |
Generators |
[549:13720:1] [-101:1620:1] |
Generators of the group modulo torsion |
j |
89807055379768/642054711375 |
j-invariant |
L |
9.7300637113913 |
L(r)(E,1)/r! |
Ω |
0.2787828289849 |
Real period |
R |
0.72712391000862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hu3 36960w2 |
Quadratic twists by: -4 8 |