Atkin-Lehner |
2+ 3- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14586f |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
1048227429629952 = 214 · 32 · 114 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39458,2580212] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:2137:1] |
Generators of the group modulo torsion |
j |
6793805286030262681/1048227429629952 |
j-invariant |
L |
2.6050589459374 |
L(r)(E,1)/r! |
Ω |
0.47110232006725 |
Real period |
R |
0.69121367985555 |
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 |
116688k1 43758s1 |
Quadratic twists by: -4 -3 |