Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560y |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
444690000000000 = 210 · 36 · 510 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112581,-14541525] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:84:1] [-189:144:1] |
Generators of the group modulo torsion |
j |
154107196178907136/434267578125 |
j-invariant |
L |
10.928303696841 |
L(r)(E,1)/r! |
Ω |
0.26067928340235 |
Real period |
R |
6.9870682691033 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cb1 3660d1 |
Quadratic twists by: -4 8 |