Atkin-Lehner |
2+ 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67150c |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-1496252416000000 = -1 · 222 · 56 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5176,-1867002] |
[a1,a2,a3,a4,a6] |
j |
-981218819953/95760154624 |
j-invariant |
L |
0.8451780701072 |
L(r)(E,1)/r! |
Ω |
0.21129451999738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2686a1 |
Quadratic twists by: 5 |