Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160cc |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-5040947520 = -1 · 26 · 38 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,-1636] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2842:1] |
Generators of the group modulo torsion |
j |
143877824/108045 |
j-invariant |
L |
5.1893808743694 |
L(r)(E,1)/r! |
Ω |
0.76328825168732 |
Real period |
R |
3.399358540432 |
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 |
20160cl1 10080bm4 6720d1 100800fs1 |
Quadratic twists by: -4 8 -3 5 |