Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ev |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-35957935964160 = -1 · 226 · 37 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5748,-234736] |
[a1,a2,a3,a4,a6] |
j |
109902239/188160 |
j-invariant |
L |
1.3695770231472 |
L(r)(E,1)/r! |
Ω |
0.34239425578679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160cm1 5040bg1 6720bg1 100800nx1 |
Quadratic twists by: -4 8 -3 5 |