Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560cm |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-914472960 = -1 · 214 · 3 · 5 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,239,241] |
[a1,a2,a3,a4,a6] |
Generators |
[8:51:1] |
Generators of the group modulo torsion |
j |
91765424/55815 |
j-invariant |
L |
5.8383538350977 |
L(r)(E,1)/r! |
Ω |
0.96778668517851 |
Real period |
R |
3.0163433349815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bk2 14640m2 |
Quadratic twists by: -4 8 |