Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560ba |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-84981582397440 = -1 · 219 · 312 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1601,443679] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:108:1] [187:2592:1] |
Generators of the group modulo torsion |
j |
-1732323601/324179010 |
j-invariant |
L |
10.752401810661 |
L(r)(E,1)/r! |
Ω |
0.49526912858505 |
Real period |
R |
0.45229625293911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560cd1 1830h1 |
Quadratic twists by: -4 8 |