Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
60840bd |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.1686116501868E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103854387,407034406766] |
[a1,a2,a3,a4,a6] |
j |
7824392006186/7381125 |
j-invariant |
L |
2.5062460951671 |
L(r)(E,1)/r! |
Ω |
0.10442692073628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680cc2 20280r2 60840bp2 |
Quadratic twists by: -4 -3 13 |