Atkin-Lehner |
2- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450p |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-973978000000 = -1 · 27 · 56 · 193 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 4 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,912,-46208] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1824:1] |
Generators of the group modulo torsion |
j |
5368567751/62334592 |
j-invariant |
L |
7.4058657499385 |
L(r)(E,1)/r! |
Ω |
0.43276899620945 |
Real period |
R |
0.40744632458778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2698b1 |
Quadratic twists by: 5 |