Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bu |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
9226654728192 = 214 · 311 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31260,-2122288] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:16:1] |
Generators of the group modulo torsion |
j |
282841522000/772497 |
j-invariant |
L |
7.2633990069145 |
L(r)(E,1)/r! |
Ω |
0.35910677882958 |
Real period |
R |
2.5282866497999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712df1 13464d1 35904h1 |
Quadratic twists by: -4 8 -3 |