Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bp |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
103192396524 = 22 · 37 · 74 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1545,17392] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:183:1] [-43:90:1] |
Generators of the group modulo torsion |
j |
34543481/8748 |
j-invariant |
L |
8.0680333743149 |
L(r)(E,1)/r! |
Ω |
0.99412268898966 |
Real period |
R |
0.096615857805877 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966ba1 84966c1 |
Quadratic twists by: -7 17 |