Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dd |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
1.7089832618759E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3035043,-431086942] |
[a1,a2,a3,a4,a6] |
Generators |
[-481:30290:1] |
Generators of the group modulo torsion |
j |
15781142246787/8722841600 |
j-invariant |
L |
5.9085892964297 |
L(r)(E,1)/r! |
Ω |
0.12247335250723 |
Real period |
R |
6.0304845668484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890e1 87120dq3 7920u1 |
Quadratic twists by: -4 -3 -11 |