Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fv |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-177788697292800 = -1 · 212 · 315 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7392,686576] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:729:1] |
Generators of the group modulo torsion |
j |
-123633664/492075 |
j-invariant |
L |
6.2947468462847 |
L(r)(E,1)/r! |
Ω |
0.49762139687901 |
Real period |
R |
1.5812088488814 |
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 |
5445k1 29040cc1 87120fp1 |
Quadratic twists by: -4 -3 -11 |