Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cs |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
332300184000 = 26 · 3 · 53 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1740,-2838] |
[a1,a2,a3,a4,a6] |
Generators |
[442:2065:8] |
Generators of the group modulo torsion |
j |
9108378167104/5192190375 |
j-invariant |
L |
5.5299744643224 |
L(r)(E,1)/r! |
Ω |
0.79960113280511 |
Real period |
R |
4.6106108305229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560dt1 29280n3 |
Quadratic twists by: -4 8 |