Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bt |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-19375453125000000 = -1 · 26 · 311 · 512 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26463,6898988] |
[a1,a2,a3,a4,a6] |
Generators |
[1208:41686:1] |
Generators of the group modulo torsion |
j |
-43927191786304/415283203125 |
j-invariant |
L |
4.7312826155923 |
L(r)(E,1)/r! |
Ω |
0.32941156879141 |
Real period |
R |
7.1814153840303 |
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 |
20160bc1 10080bb4 6720m1 100800ed1 |
Quadratic twists by: -4 8 -3 5 |