Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720fd |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
707236580966400 = 214 · 314 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74172,-7669136] |
[a1,a2,a3,a4,a6] |
Generators |
[789:20615:1] |
Generators of the group modulo torsion |
j |
3778298043856/59213025 |
j-invariant |
L |
6.2313321776731 |
L(r)(E,1)/r! |
Ω |
0.28956898414335 |
Real period |
R |
5.3798339246061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720by2 13680k2 18240co2 |
Quadratic twists by: -4 8 -3 |