Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120dv |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-254358061056000 = -1 · 221 · 36 · 53 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28083,1967218] |
[a1,a2,a3,a4,a6] |
Generators |
[231:2794:1] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
7.7920270871595 |
L(r)(E,1)/r! |
Ω |
0.53948763380424 |
Real period |
R |
3.6108460131849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890k1 9680u1 87120dw1 |
Quadratic twists by: -4 -3 -11 |