Atkin-Lehner |
2+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144p |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
753139712 = 218 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 6 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3809,89215] |
[a1,a2,a3,a4,a6] |
Generators |
[34:13:1] |
Generators of the group modulo torsion |
j |
23320116793/2873 |
j-invariant |
L |
3.3334538114297 |
L(r)(E,1)/r! |
Ω |
1.5387351204066 |
Real period |
R |
1.0831798687187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144be1 221b1 127296bb1 |
Quadratic twists by: -4 8 -3 |