Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3096h |
Isogeny class |
Conductor |
3096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-866681856 = -1 · 210 · 39 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -3 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,758] |
[a1,a2,a3,a4,a6] |
Generators |
[19:108:1] |
Generators of the group modulo torsion |
j |
1431644/1161 |
j-invariant |
L |
3.4266843133514 |
L(r)(E,1)/r! |
Ω |
1.0197104274132 |
Real period |
R |
0.42005605479148 |
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 |
6192g1 24768bb1 1032a1 77400j1 |
Quadratic twists by: -4 8 -3 5 |