Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160er |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-10450944000 = -1 · 214 · 36 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-5024] |
[a1,a2,a3,a4,a6] |
j |
-65536/875 |
j-invariant |
L |
1.6464264194506 |
L(r)(E,1)/r! |
Ω |
0.54880880648354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160cj1 5040bf1 2240p1 100800np1 |
Quadratic twists by: -4 8 -3 5 |