Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680di |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-20185251840 = -1 · 215 · 36 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,22178] |
[a1,a2,a3,a4,a6] |
Generators |
[1:144:1] |
Generators of the group modulo torsion |
j |
-658489/40 |
j-invariant |
L |
5.8928092617794 |
L(r)(E,1)/r! |
Ω |
1.1980853200754 |
Real period |
R |
0.61481527728764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210i1 13520ba1 121680es1 |
Quadratic twists by: -4 -3 13 |