Atkin-Lehner |
3- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
11457d |
Isogeny class |
Conductor |
11457 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-837339530913 = -1 · 37 · 19 · 674 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1894,-30990] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1215:8] |
Generators of the group modulo torsion |
j |
1031219362727/1148613897 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
3819d4 |
Quadratic twists by: -3 |