Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560b |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
10245657600 = 210 · 38 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2141,38541] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:81:1] |
Generators of the group modulo torsion |
j |
1060416772096/10005525 |
j-invariant |
L |
5.6267238533515 |
L(r)(E,1)/r! |
Ω |
1.2924180614354 |
Real period |
R |
2.1768203421307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560dk1 7320g1 |
Quadratic twists by: -4 8 |