Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160br |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1632960 = 26 · 36 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-423,-3348] |
[a1,a2,a3,a4,a6] |
Generators |
[24:18:1] |
Generators of the group modulo torsion |
j |
179406144/35 |
j-invariant |
L |
5.2245141825897 |
L(r)(E,1)/r! |
Ω |
1.0527361755371 |
Real period |
R |
2.4813976682829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160bg1 10080cf2 2240k1 100800dx1 |
Quadratic twists by: -4 8 -3 5 |