Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920hv |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
32798658816000000 = 214 · 32 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2515345,-1536295057] |
[a1,a2,a3,a4,a6] |
Generators |
[56037:1262800:27] |
Generators of the group modulo torsion |
j |
107422839278466723664/2001871265625 |
j-invariant |
L |
7.8683846260314 |
L(r)(E,1)/r! |
Ω |
0.11988107694965 |
Real period |
R |
5.4695764795209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920br2 18480c2 |
Quadratic twists by: -4 8 |