Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560z |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.938153984E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325333441,-2258715537505] |
[a1,a2,a3,a4,a6] |
j |
14526798467252802652531441/18837562500000000 |
j-invariant |
L |
3.5548183353686 |
L(r)(E,1)/r! |
Ω |
0.035548183365372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58560cc4 1830g3 |
Quadratic twists by: -4 8 |