Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160cm |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1651817683353600 = 222 · 38 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40332,2428144] |
[a1,a2,a3,a4,a6] |
j |
37966934881/8643600 |
j-invariant |
L |
3.5688877256453 |
L(r)(E,1)/r! |
Ω |
0.44611096570566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20160ev2 630d2 6720u2 100800dy2 |
Quadratic twists by: -4 8 -3 5 |