Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920br |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
576 |
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 |
[864:-2695:1] |
Generators of the group modulo torsion |
j |
107422839278466723664/2001871265625 |
j-invariant |
L |
5.1423924113128 |
L(r)(E,1)/r! |
Ω |
0.33958346553806 |
Real period |
R |
0.42064543220238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001228 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920hv2 9240bg2 |
Quadratic twists by: -4 8 |