Atkin-Lehner |
2+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930d |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201344 |
Modular degree for the optimal curve |
Δ |
1006644045200 = 24 · 52 · 17 · 236 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 2 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3979,-83994] |
[a1,a2,a3,a4,a6] |
j |
47045881/6800 |
j-invariant |
L |
1.2138554268557 |
L(r)(E,1)/r! |
Ω |
0.60692769666983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
170a1 |
Quadratic twists by: -23 |