Atkin-Lehner |
3- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
11457d |
Isogeny class |
Conductor |
11457 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19095805809 = 37 · 194 · 67 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9716,-366114] |
[a1,a2,a3,a4,a6] |
Generators |
[2430:38491:8] |
Generators of the group modulo torsion |
j |
139128722155513/26194521 |
j-invariant |
L |
2.0817688618266 |
L(r)(E,1)/r! |
Ω |
0.48087929350391 |
Real period |
R |
4.3290881723308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3819d3 |
Quadratic twists by: -3 |