Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160cn |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21163161600000000 = 217 · 310 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-878412,316803184] |
[a1,a2,a3,a4,a6] |
j |
784478485879202/221484375 |
j-invariant |
L |
2.9942832028715 |
L(r)(E,1)/r! |
Ω |
0.37428540035894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160ew5 2520g5 6720w5 100800ea6 |
Quadratic twists by: -4 8 -3 5 |