Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dq |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
2155125215232000000 = 218 · 33 · 56 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20781387,36463562234] |
[a1,a2,a3,a4,a6] |
Generators |
[68871:193600:27] [1903:61710:1] |
Generators of the group modulo torsion |
j |
5066026756449723/11000000 |
j-invariant |
L |
11.012242112733 |
L(r)(E,1)/r! |
Ω |
0.22449095843042 |
Real period |
R |
1.0219641462994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bk1 87120dd3 7920x1 |
Quadratic twists by: -4 -3 -11 |