Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bl |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
391910400000000 = 216 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23628,-1023248] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:612:1] |
Generators of the group modulo torsion |
j |
30534944836/8203125 |
j-invariant |
L |
4.9535674240449 |
L(r)(E,1)/r! |
Ω |
0.39280618769824 |
Real period |
R |
3.1526790941556 |
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 |
20160do4 2520t3 6720bc4 100800cz3 |
Quadratic twists by: -4 8 -3 5 |