Atkin-Lehner |
3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51183h |
Isogeny class |
Conductor |
51183 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-31381380178731 = -1 · 36 · 117 · 472 |
Discriminant |
Eigenvalues |
0 3- -3 2 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17424,-925378] |
[a1,a2,a3,a4,a6] |
j |
-452984832/24299 |
j-invariant |
L |
1.6569903269551 |
L(r)(E,1)/r! |
Ω |
0.20712379076884 |
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 |
5687a1 4653b1 |
Quadratic twists by: -3 -11 |