Atkin-Lehner |
2+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150g |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
6953172992000000 = 222 · 56 · 17 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -2 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-72326,-6326952] |
[a1,a2,a3,a4,a6] |
Generators |
[-62902:333731:343] |
Generators of the group modulo torsion |
j |
2677801592364625/445003071488 |
j-invariant |
L |
4.1857409631323 |
L(r)(E,1)/r! |
Ω |
0.29440936815691 |
Real period |
R |
7.108708852665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2686d1 |
Quadratic twists by: 5 |