Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dp |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
1254113280 = 214 · 37 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,-18128] |
[a1,a2,a3,a4,a6] |
Generators |
[42:32:1] |
Generators of the group modulo torsion |
j |
20720464/105 |
j-invariant |
L |
4.374936403428 |
L(r)(E,1)/r! |
Ω |
0.79410894922861 |
Real period |
R |
2.7546197582068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160bm1 5040n1 6720cf1 100800ms1 |
Quadratic twists by: -4 8 -3 5 |