Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dc |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3870720 = 212 · 33 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132,576] |
[a1,a2,a3,a4,a6] |
Generators |
[0:24:1] |
Generators of the group modulo torsion |
j |
2299968/35 |
j-invariant |
L |
5.5724431617663 |
L(r)(E,1)/r! |
Ω |
2.4864518007535 |
Real period |
R |
1.1205612672801 |
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 |
20160dh1 10080a1 20160cq1 100800jq1 |
Quadratic twists by: -4 8 -3 5 |