Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431k |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
24147030704230161 = 310 · 73 · 137 · 19 |
Discriminant |
Eigenvalues |
1 3- 2 7+ -2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-284600,-57982039] |
[a1,a2,a3,a4,a6] |
Generators |
[38433:1309430:27] |
Generators of the group modulo torsion |
j |
528160711369537/5002690329 |
j-invariant |
L |
9.9828162713128 |
L(r)(E,1)/r! |
Ω |
0.20681847083509 |
Real period |
R |
9.6536989474216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187i1 |
Quadratic twists by: 13 |