Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14994d |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
10584174636 = 22 · 33 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 2 7 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2508,-47468] |
[a1,a2,a3,a4,a6] |
j |
11211291/68 |
j-invariant |
L |
2.6994681296821 |
L(r)(E,1)/r! |
Ω |
0.67486703242051 |
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 |
119952cg1 14994bl1 14994f1 |
Quadratic twists by: -4 -3 -7 |