Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128m |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
522076100231168 = 223 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 0 4 7- -2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-533708,150069360] |
[a1,a2,a3,a4,a6] |
Generators |
[-280:16660:1] |
Generators of the group modulo torsion |
j |
545138290809/16928 |
j-invariant |
L |
7.9019694781105 |
L(r)(E,1)/r! |
Ω |
0.48599098706416 |
Real period |
R |
4.0648744978337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bd2 2254c2 1472d2 |
Quadratic twists by: -4 8 -7 |