Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920cc |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3983377305600 = 212 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7721,240279] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-360:1] [-86:525:1] |
Generators of the group modulo torsion |
j |
12429128234944/972504225 |
j-invariant |
L |
11.53324594281 |
L(r)(E,1)/r! |
Ω |
0.76526248417842 |
Real period |
R |
0.94193546179563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999471 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920r2 36960m1 |
Quadratic twists by: -4 8 |