Atkin-Lehner |
2- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
116756b |
Isogeny class |
Conductor |
116756 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
62016 |
Modular degree for the optimal curve |
Δ |
624100984064 = 28 · 176 · 101 |
Discriminant |
Eigenvalues |
2- 0 1 2 2 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2312,19652] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:194:1] |
Generators of the group modulo torsion |
j |
221184/101 |
j-invariant |
L |
7.5629683843722 |
L(r)(E,1)/r! |
Ω |
0.81852583193705 |
Real period |
R |
3.0799143431566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
404a1 |
Quadratic twists by: 17 |