Atkin-Lehner |
2+ 3+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67146b |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-9669024 = -1 · 25 · 33 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 -1 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
463391/26784 |
j-invariant |
L |
2.4591587324452 |
L(r)(E,1)/r! |
Ω |
1.0982581165892 |
Real period |
R |
2.2391446015619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67146j1 |
Quadratic twists by: -19 |