Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18513k |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-31822807804939107 = -1 · 38 · 1111 · 17 |
Discriminant |
Eigenvalues |
0 3- 2 -1 11- 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-293304,61739433] |
[a1,a2,a3,a4,a6] |
Generators |
[1001:27769:1] |
Generators of the group modulo torsion |
j |
-2160697802752/24640803 |
j-invariant |
L |
5.032556942541 |
L(r)(E,1)/r! |
Ω |
0.37163568945276 |
Real period |
R |
3.3854101512368 |
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 |
6171f1 1683f1 |
Quadratic twists by: -3 -11 |