Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bq |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-117062516736 = -1 · 214 · 310 · 112 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11- 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,36938] |
[a1,a2,a3,a4,a6] |
j |
-2259169/324 |
j-invariant |
L |
4.0618157234065 |
L(r)(E,1)/r! |
Ω |
1.0154539308516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2178j1 69696ge1 5808q1 17424bs1 |
Quadratic twists by: -4 8 -3 -11 |