Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513l |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-14260599822976947 = -1 · 316 · 117 · 17 |
Discriminant |
Eigenvalues |
0 3- 2 3 11- -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4061244,-3150195161] |
[a1,a2,a3,a4,a6] |
Generators |
[23756928821399983:976610843694286996:7327383639967] |
Generators of the group modulo torsion |
j |
-5736108018368512/11042163 |
j-invariant |
L |
5.241442934946 |
L(r)(E,1)/r! |
Ω |
0.053174662017055 |
Real period |
R |
24.642577574188 |
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 |
6171a1 1683g1 |
Quadratic twists by: -3 -11 |