Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fg |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-391910400000000 = -1 · 216 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8628,901136] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:720:1] |
Generators of the group modulo torsion |
j |
1486779836/8203125 |
j-invariant |
L |
6.1465578946959 |
L(r)(E,1)/r! |
Ω |
0.38526612519134 |
Real period |
R |
0.49856429530069 |
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 |
20160cd4 5040m4 6720bm4 100800lw3 |
Quadratic twists by: -4 8 -3 5 |