Atkin-Lehner |
2- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
116756a |
Isogeny class |
Conductor |
116756 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
624100984064 = 28 · 176 · 101 |
Discriminant |
Eigenvalues |
2- 2 -3 -2 6 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20037,1097729] |
[a1,a2,a3,a4,a6] |
j |
143982592/101 |
j-invariant |
L |
2.7149112787938 |
L(r)(E,1)/r! |
Ω |
0.90497038379388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
404b1 |
Quadratic twists by: 17 |