Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560t |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1276508160000 = 214 · 38 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7160,-224400] |
[a1,a2,a3,a4,a6] |
j |
9912050027641/311647500 |
j-invariant |
L |
2.0799952051297 |
L(r)(E,1)/r! |
Ω |
0.51999880128242 |
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 |
570e4 18240ck3 13680bf4 22800dl3 |
Quadratic twists by: -4 8 -3 5 |