Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
124002s |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-20406209352892416 = -1 · 216 · 38 · 834 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60709,3738251] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-2252:1] [3:1978:1] |
Generators of the group modulo torsion |
j |
715236647/589824 |
j-invariant |
L |
16.751692462971 |
L(r)(E,1)/r! |
Ω |
0.24829768510987 |
Real period |
R |
0.7027725468085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41334c1 124002h1 |
Quadratic twists by: -3 -83 |