Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bw |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
130661359718400 = 212 · 312 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32052,2139104] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1568:1] |
Generators of the group modulo torsion |
j |
1219555693504/43758225 |
j-invariant |
L |
5.1184640879657 |
L(r)(E,1)/r! |
Ω |
0.58096923094658 |
Real period |
R |
2.2025538597053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20160cf2 10080i1 6720a2 100800el2 |
Quadratic twists by: -4 8 -3 5 |