Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
14892h |
Isogeny class |
Conductor |
14892 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-59568 = -1 · 24 · 3 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293,1836] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3:1] |
Generators of the group modulo torsion |
j |
-174456832000/3723 |
j-invariant |
L |
5.5783419129913 |
L(r)(E,1)/r! |
Ω |
3.2429124824866 |
Real period |
R |
0.57338806223493 |
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 |
59568v1 44676m1 |
Quadratic twists by: -4 -3 |