Atkin-Lehner |
2- 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67146j |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
-454887752490144 = -1 · 25 · 33 · 198 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -1 3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4144,1021344] |
[a1,a2,a3,a4,a6] |
Generators |
[30:1068:1] |
Generators of the group modulo torsion |
j |
463391/26784 |
j-invariant |
L |
11.352433434129 |
L(r)(E,1)/r! |
Ω |
0.40138180029427 |
Real period |
R |
0.62851952517471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67146b1 |
Quadratic twists by: -19 |