Atkin-Lehner |
17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14297a |
Isogeny class |
Conductor |
14297 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-49680238593241 = -1 · 174 · 296 |
Discriminant |
Eigenvalues |
1 0 -2 4 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-578,-339015] |
[a1,a2,a3,a4,a6] |
Generators |
[4867240:41472467:42875] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
5.0746917432326 |
L(r)(E,1)/r! |
Ω |
0.28728549802255 |
Real period |
R |
8.8321404633421 |
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 |
128673p3 17a1 |
Quadratic twists by: -3 29 |