Atkin-Lehner |
2+ 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14586d |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-2811246362496 = -1 · 27 · 312 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11+ 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2358,91720] |
[a1,a2,a3,a4,a6] |
Generators |
[20:219:1] |
Generators of the group modulo torsion |
j |
-1449073218392281/2811246362496 |
j-invariant |
L |
4.8846768261636 |
L(r)(E,1)/r! |
Ω |
0.71810174100428 |
Real period |
R |
0.28342529960381 |
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 |
116688r1 43758y1 |
Quadratic twists by: -4 -3 |