Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120eg |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
877968875520 = 213 · 311 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4323,99682] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:162:1] [-7:360:1] |
Generators of the group modulo torsion |
j |
24729001/2430 |
j-invariant |
L |
10.328612781566 |
L(r)(E,1)/r! |
Ω |
0.86281095250858 |
Real period |
R |
0.7481804640676 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890l1 29040dj1 87120ee1 |
Quadratic twists by: -4 -3 -11 |