Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
60876s |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-8351322090920496 = -1 · 24 · 38 · 197 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 5 -5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59592,-7119227] |
[a1,a2,a3,a4,a6] |
Generators |
[3634:61731:8] |
Generators of the group modulo torsion |
j |
-2006504254603264/715991262939 |
j-invariant |
L |
6.8989010753788 |
L(r)(E,1)/r! |
Ω |
0.15009345510323 |
Real period |
R |
1.6415727384606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292h1 |
Quadratic twists by: -3 |