Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14762g |
Isogeny class |
Conductor |
14762 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-204193125427456 = -1 · 28 · 118 · 612 |
Discriminant |
Eigenvalues |
2- 0 1 -2 11- 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1913,-687233] |
[a1,a2,a3,a4,a6] |
Generators |
[91:438:1] |
Generators of the group modulo torsion |
j |
3613599/952576 |
j-invariant |
L |
7.0280542411924 |
L(r)(E,1)/r! |
Ω |
0.26503112783366 |
Real period |
R |
0.55245509419333 |
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 |
118096u1 14762d1 |
Quadratic twists by: -4 -11 |