Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160w |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
5927040000 = 210 · 33 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272,17064] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:140:1] |
Generators of the group modulo torsion |
j |
8232302592/214375 |
j-invariant |
L |
5.8798242824714 |
L(r)(E,1)/r! |
Ω |
1.3426713163178 |
Real period |
R |
0.36493321255747 |
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 |
20160df1 2520m1 20160k1 100800j1 |
Quadratic twists by: -4 8 -3 5 |