Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560k |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30593369663078400 = 222 · 314 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-318561,68797665] |
[a1,a2,a3,a4,a6] |
j |
13638385797303961/116704443600 |
j-invariant |
L |
0.74638308052548 |
L(r)(E,1)/r! |
Ω |
0.37319154174404 |
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 |
58560dn2 1830d2 |
Quadratic twists by: -4 8 |