Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fv |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-152425152000000 = -1 · 212 · 39 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-862752,308445104] |
[a1,a2,a3,a4,a6] |
Generators |
[553:675:1] |
Generators of the group modulo torsion |
j |
-196566176333824/421875 |
j-invariant |
L |
6.2947468462847 |
L(r)(E,1)/r! |
Ω |
0.49762139687901 |
Real period |
R |
0.52706961629379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5445k2 29040cc2 87120fp2 |
Quadratic twists by: -4 -3 -11 |