Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160cy |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
61931520 = 216 · 33 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,208] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] |
Generators of the group modulo torsion |
j |
78732/35 |
j-invariant |
L |
4.6904413226274 |
L(r)(E,1)/r! |
Ω |
1.7699154441037 |
Real period |
R |
1.3250467241961 |
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 |
20160g1 5040h1 20160dn1 100800jc1 |
Quadratic twists by: -4 8 -3 5 |