Atkin-Lehner |
3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1071b |
Isogeny class |
Conductor |
1071 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-526491819 = -1 · 37 · 72 · 173 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ -1 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,177,630] |
[a1,a2,a3,a4,a6] |
Generators |
[65:535:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
1.2707447389281 |
L(r)(E,1)/r! |
Ω |
1.0696200351861 |
Real period |
R |
0.049501407708884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17136bn1 68544bj1 357c1 26775bl1 |
Quadratic twists by: -4 8 -3 5 |