Atkin-Lehner |
3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14091c |
Isogeny class |
Conductor |
14091 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4288 |
Modular degree for the optimal curve |
Δ |
-18755121 = -1 · 3 · 7 · 114 · 61 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11- 6 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112,-511] |
[a1,a2,a3,a4,a6] |
Generators |
[13:10:1] |
Generators of the group modulo torsion |
j |
-155460517633/18755121 |
j-invariant |
L |
3.3904107438159 |
L(r)(E,1)/r! |
Ω |
0.72881445961597 |
Real period |
R |
1.162988295266 |
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 |
42273c1 98637e1 |
Quadratic twists by: -3 -7 |