Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120dt |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
6.8436518439744E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24001923,-45242769022] |
[a1,a2,a3,a4,a6] |
Generators |
[-2801:3330:1] |
Generators of the group modulo torsion |
j |
217190179331/97200 |
j-invariant |
L |
4.5613373621787 |
L(r)(E,1)/r! |
Ω |
0.068210260814066 |
Real period |
R |
4.1794824079785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890j1 29040cl1 87120dr1 |
Quadratic twists by: -4 -3 -11 |