Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fa |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-893025000000 = -1 · 26 · 36 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1287,48816] |
[a1,a2,a3,a4,a6] |
Generators |
[52:350:1] |
Generators of the group modulo torsion |
j |
-5053029696/19140625 |
j-invariant |
L |
5.6567379038111 |
L(r)(E,1)/r! |
Ω |
0.7746057866298 |
Real period |
R |
0.91284140937399 |
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 |
20160em1 10080p4 2240t1 100800la1 |
Quadratic twists by: -4 8 -3 5 |