Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
14664c |
Isogeny class |
Conductor |
14664 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
40023569664 = 28 · 39 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -3 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1177,11819] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:117:1] [-25:162:1] |
Generators of the group modulo torsion |
j |
704988556288/156342069 |
j-invariant |
L |
6.4040782770613 |
L(r)(E,1)/r! |
Ω |
1.0830094503857 |
Real period |
R |
0.082128121406673 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29328d1 117312i1 43992j1 |
Quadratic twists by: -4 8 -3 |