Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878z |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-8171508554717790464 = -1 · 28 · 77 · 132 · 475 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 1 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8544213,9616058925] |
[a1,a2,a3,a4,a6] |
Generators |
[1815:8304:1] |
Generators of the group modulo torsion |
j |
-586342836493501890321/69456676679936 |
j-invariant |
L |
5.0444015587134 |
L(r)(E,1)/r! |
Ω |
0.22414373430949 |
Real period |
R |
0.14065755547871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554m1 |
Quadratic twists by: -7 |