Atkin-Lehner |
2+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144k |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
55720288452608 = 226 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 0 4 -2 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10988,-259920] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:340:1] |
Generators of the group modulo torsion |
j |
559679941521/212556032 |
j-invariant |
L |
5.8487422673816 |
L(r)(E,1)/r! |
Ω |
0.48143195548054 |
Real period |
R |
2.024772902588 |
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 |
14144ba1 442b1 127296bi1 |
Quadratic twists by: -4 8 -3 |