Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698q |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-24203066382 = -1 · 2 · 33 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 11- -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1455,22504] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:198:1] |
Generators of the group modulo torsion |
j |
-192100033/13662 |
j-invariant |
L |
5.2599898263556 |
L(r)(E,1)/r! |
Ω |
1.1765714119786 |
Real period |
R |
0.37255068503876 |
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 |
50094ch1 1518r1 |
Quadratic twists by: -3 -11 |