Atkin-Lehner |
3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6909f |
Isogeny class |
Conductor |
6909 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-448973591836975443 = -1 · 37 · 711 · 473 |
Discriminant |
Eigenvalues |
2 3+ -4 7- 1 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-101250,-34507033] |
[a1,a2,a3,a4,a6] |
Generators |
[184830:4852313:216] |
Generators of the group modulo torsion |
j |
-975719213461504/3816212563107 |
j-invariant |
L |
5.3289529410013 |
L(r)(E,1)/r! |
Ω |
0.1222399980909 |
Real period |
R |
3.6328486476242 |
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 |
110544dw1 20727m1 987d1 |
Quadratic twists by: -4 -3 -7 |