Atkin-Lehner |
3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851r |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
183264 |
Modular degree for the optimal curve |
Δ |
-17150105776539 = -1 · 3 · 238 · 73 |
Discriminant |
Eigenvalues |
0 3- -1 0 -3 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8111,-347323] |
[a1,a2,a3,a4,a6] |
Generators |
[538566033345:54865518692656:51895117] |
Generators of the group modulo torsion |
j |
-753664/219 |
j-invariant |
L |
5.2278334987734 |
L(r)(E,1)/r! |
Ω |
0.24781384779094 |
Real period |
R |
21.095808589291 |
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 |
115851q1 |
Quadratic twists by: -23 |