Atkin-Lehner |
3- 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17271j |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-28786214727 = -1 · 37 · 194 · 101 |
Discriminant |
Eigenvalues |
1 3- 2 -4 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1026,-14801] |
[a1,a2,a3,a4,a6] |
Generators |
[17138:2234951:1] |
Generators of the group modulo torsion |
j |
-163936758817/39487263 |
j-invariant |
L |
5.3666383787216 |
L(r)(E,1)/r! |
Ω |
0.41645694597619 |
Real period |
R |
6.4432091126996 |
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 |
5757c1 |
Quadratic twists by: -3 |