Atkin-Lehner |
2+ 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160b |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-80338068403200 = -1 · 210 · 32 · 52 · 17 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29016,1960380] |
[a1,a2,a3,a4,a6] |
Generators |
[1686:-16820:27] [-147:1740:1] |
Generators of the group modulo torsion |
j |
-2638465079114596/78455144925 |
j-invariant |
L |
7.2532254539298 |
L(r)(E,1)/r! |
Ω |
0.60701937026206 |
Real period |
R |
0.29872298188779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118320p1 |
Quadratic twists by: -4 |